{"id":794368,"date":"2024-02-29T16:45:07","date_gmt":"2024-02-29T11:15:07","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=794368"},"modified":"2024-02-29T16:45:07","modified_gmt":"2024-02-29T11:15:07","slug":"ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/","title":{"rendered":"NCERT Solutions and Notes for Class 7 Maths Chapter 2: Fractions Notes and Solutions (Free PDF)"},"content":{"rendered":"\n<p>Until now, we have studied all about the integers, the positive and negative integers, representing integers on the number line, and their properties. Now in NCERT Class 7 Maths Chapter 2, we will study fractions and decimals in detail. We will also study properties like multiplication and division on fractions and decimals. Let us continue to read the NCERT Class 7 Maths Chapter 2 Fractions and Decimals Notes and Solutions (PDF) below.\u00a0<\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-background has-link-color has-medium-font-size wp-elements-a6c705a642a37a124c9e3777170b42f9\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 100%,rgb(51,167,181) 100%)\"><a href=\"https:\/\/drive.google.com\/file\/d\/1o8c-R9RNuRLyj1mMpyPBMwMKkkPXjg6s\/view?usp=sharing\"><strong>Download NCERT Class 7 Maths Chapter 2 Fraction and Decimals Notes and Solutions PDF<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-b47e29169d55207c52d26d02aa1e110a\"><strong>Explore all the Chapters of Class Mathematics:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-1-integers-notes-and-solutions-pdf\/\"><strong>Chapter 1<\/strong><\/a><\/td><td>Chapter 2<\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-3-data-handling-notes\/\"><strong>Chapter 3<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-4-simple-equations-notes-and-solutions-pdf\/\"><strong>Chapter 4<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-5-lines-and-angles-notes-and-solutions-pdf\/\"><strong>Chapter 5<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/ncert-class-7-maths-chapter-6-the-triangle-and-its-properties\/\"><strong>Chapter 6<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-7-comparing-quantities\/\"><strong>Chapter 7<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-8-rational-numbers-notes-and-solutions-pdf\/\"><strong>Chapter 8<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-9-perimeter-and-area-pdf\/\"><strong>Chapter 9<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-10-algebraic-expressions\/\"><strong>Chapter 10<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-11-exponents-and-powers\/\"><strong>Chapter 11<\/strong><\/a><\/td><td><strong>Chapter 12<\/strong><\/td><td><strong>Chapter 13<\/strong><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-ncert-class-7-maths-chapter-2-notes-pdf-available\">NCERT Class 7 Maths Chapter 2 Notes &#8211; PDF Available<\/h2>\n\n\n\n<p>Check the topic-wise notes for NCERT Maths Class 7 &#8211; Chapter 2 below. You can also download the PDF of the notes and take a printout to study later when you need quick revision before going to the exam hall.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Fractions and Decimals - Full Chapter Explanation &amp; NCERT Solutions | Class 7 Maths Chapter 2\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/g1tBYT7XEwk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">Source: Magnet Brains<\/figcaption><\/figure>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>Top 10 Short Maths Tricks for Complex Problems<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-1-multiplication-of-fractions\">Topic 1: Multiplication of Fractions<\/h3>\n\n\n\n<p>Let us see the different cases of multiplication of fractions.&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Multiplication of a Fraction by a Whole Number: <\/strong>to multiply a whole number with a proper or an improper fraction, we multiply the whole number with the numerator of the fraction, keeping the denominator the same.<\/li>\n<\/ol>\n\n\n\n<p><strong>Note:-<\/strong> To multiply a mixed fraction to a whole number, first convert the mixed fraction to an improper fraction and then multiply. For example,&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/-w8qsmBzjcrdnS5ySwMw7F3pkPzrfTh3dk8B1NgTTFs2sw2XQyd0oyYZsVokoVDnxBYFAHAFnzPdAXptFUQrbENtrl-riv9jOniTOSltQPBLEeEunWpIJ_Pn7oZj9Fb8jNeM7KXhboUhIYJkKasiNco\" ><\/figure>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li><strong>Fraction as an operator \u2018of\u2019:<\/strong> \u2018of\u2019 represents multiplication. For example,&nbsp;<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/SQZimScJlmZ22FB6DHIKL1jm1DuGnAV0HRG2HznrNw1svQPhYoAypadLsN_Uyt7nEaxJbRE8lTIWwu_9fZ7eBcnZy-2QtsmiHNRv_2pw9yI2POYdgY8MVxZpjShTNJWI5GdGtY_7pb3abFjWlKsfhTU\" ><\/figure>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li><strong>Multiplication of a Fraction by a Fraction:<\/strong> We multiply two fractions as: (Product of Numerators\/Product of Denominators).<\/li>\n\n\n\n<li><strong>Value of the Products:<\/strong> There are 2 cases of the product of improper and proper fractions. Let us see each one by one.&nbsp;<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When two proper fractions are multiplied, the product is less than each of the fractions. Or, we say the value of the product of two proper fractions is smaller than each of the two fractions.<\/li>\n\n\n\n<li>The product of two improper fractions is greater than each of the two fractions. Or, the value of the product of two improper fractions is more than each of the two fractions.<\/li>\n<\/ul>\n\n\n\n<p>So, as a result, we can say that The product obtained is less than the improper fraction and greater than the proper fraction involved in the multiplication.<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><a href=\"https:\/\/leverageedu.com\/blog\/maths-books-for-competitive-exams\/\"><strong>Maths Books for Competitive Exams<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>BSc Mathematics: Course, Universities and Scope<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-2-division-of-fractions\">Topic 2: Division of Fractions<\/h3>\n\n\n\n<p>Let us see each case of the division of fractions below.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Division of Whole Number by a Fraction:<\/strong> To divide a whole number by any fraction, multiply that whole number by the reciprocal of that fraction.<\/li>\n<\/ol>\n\n\n\n<p><strong>Note:-<\/strong> While dividing a whole number by a mixed fraction, first convert the mixed fraction into an improper fraction and then solve it as above.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li><strong>Division of a Fraction by a Whole Number:<\/strong> Based on our earlier observations we have:<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/3s-Q2NjCholKb1bPub6nX77WQzQHNmOyMQzs3mx2G2-AIwt5-R5DAYv9sovJGWOKCWxPOfS7WWrcdUoCBFVqmKcZYE8F29rmcd3D5OixaS7mOduR_9lBS9qfynhd8L_hYR8tLaBFYq3r-wepSl5oUTk\" ><\/figure>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li><strong>Division of a Fraction by Another Fraction: <\/strong>Just like the above case, the division of a fraction by a fraction can be calculated by &#8211;<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/QBscytqYbk8J0jwaRzkM2obXO6x-857aqGwdzAt_1sjZHp5K85jehx0FgKjZTzqhVMt5eDADkyV_OUX5K_B8NjDbPWSChRZ2E95XnIEy2YiIRDf_eg2UQKeYepldM8-AIHDl0YlBHzTI5VorBjpmDP8\" ><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-3-multiplication-of-decimal-numbers\">Topic 3: Multiplication of Decimal Numbers<\/h3>\n\n\n\n<p>Let us see the different cases here.&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Multiplication of Decimal Numbers by 10, 100 and 1000: <\/strong>when a decimal number is multiplied by 10, 100 or 1000, the digits in the product are the same as in the decimal number but the decimal point in the product is shifted to the right by as, many of places as there are zeros over one.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><a href=\"https:\/\/leverageedu.com\/blog\/maths-for-competitive-exams\/\"><strong>Maths for Competitive Exams<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>Maths Formulas for Class 10<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-topic-4-division-of-decimal-numbers\">Topic 4: Division of Decimal Numbers<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Division by 10, 100 and 1000: <\/strong>while dividing a number by 10, 100 or 1000, the digits of the number and the quotient are the same but the decimal point in the quotient shifts to the left by as many places as there are zeros over 1.&nbsp;<\/li>\n\n\n\n<li><strong>Division of a Decimal Number by a Whole Number: <\/strong>To divide a decimal number by a whole number, we first divide them as whole numbers. Then place the decimal point in the quotient as in the decimal number.<\/li>\n<\/ol>\n\n\n\n<p>For example, 8.4 \u00f7 4 = 2.1<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li><strong>Division of a Decimal Number by another Decimal Number: <\/strong>While dividing two decimal numbers, first shift the decimal point to the right by an equal number of places in both, to convert the divisor to a whole number. Then divide. Thus, 2.4 \u00f7 0.2 = 24 \u00f7 2 = 12.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-background has-link-color has-medium-font-size wp-elements-a6c705a642a37a124c9e3777170b42f9\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 100%,rgb(51,167,181) 100%)\"><a href=\"https:\/\/drive.google.com\/file\/d\/1o8c-R9RNuRLyj1mMpyPBMwMKkkPXjg6s\/view?usp=sharing\"><strong>Download NCERT Class 7 Maths Chapter 2 Fraction and Decimals Notes and Solutions PDF<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-b47e29169d55207c52d26d02aa1e110a\"><strong>Explore all the Chapters of Class Mathematics:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-1-integers-notes-and-solutions-pdf\/\"><strong>Chapter 1<\/strong><\/a><\/td><td>Chapter 2<\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-3-data-handling-notes\/\"><strong>Chapter 3<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-4-simple-equations-notes-and-solutions-pdf\/\"><strong>Chapter 4<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-5-lines-and-angles-notes-and-solutions-pdf\/\"><strong>Chapter 5<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/ncert-class-7-maths-chapter-6-the-triangle-and-its-properties\/\"><strong>Chapter 6<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-7-comparing-quantities\/\"><strong>Chapter 7<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-8-rational-numbers-notes-and-solutions-pdf\/\"><strong>Chapter 8<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-9-perimeter-and-area-pdf\/\"><strong>Chapter 9<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-10-algebraic-expressions\/\"><strong>Chapter 10<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-solutions-class-7-maths-chapter-11-exponents-and-powers\/\"><strong>Chapter 11<\/strong><\/a><\/td><td><strong>Chapter 12<\/strong><\/td><td><strong>Chapter 13<\/strong><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-ncert-solutions-of-class-7-maths-chapter-2-fractions-and-decimals-free-pdf-download\">NCERT Solutions of Class 7 Maths Chapter 2: Fractions and Decimals- Free PDF Download\u00a0<\/h2>\n\n\n\n<p>Below we have provided solutions for NCERT Class 7 Maths Chapter 2, Fractions and Decimals. Go through for answers to some important questions.&nbsp;<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><a href=\"https:\/\/leverageedu.com\/blog\/career-options-in-commerce-without-maths\/\"><strong>Courses and Career Options in Commerce Without Maths in 2023<\/strong><\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exercise-2-1-solutions\">Exercise 2.1 Solutions<\/h3>\n\n\n\n<p><strong>Q 1. Multiply (7 \u00d7 \u2157) and reduce to the lowest form and convert into a mixed fraction.<\/strong><\/p>\n\n\n\n<p><strong>Solutions.<\/strong> The answer is given below.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-us.googleusercontent.com\/lLT1fPff7a7wqdPMWgNNCakM0cR4DZ1Cy-IKrdZHrIdim2zcwZBG4T6nu2D6GecYIgFdnrW3es99Kv4MkPhMrZpxsKoGT-MkZOyWaOV3XeoHYQ7c8O7yAMLgOdCfwjsNld2XT3bdikr_qhh1nHgk7JU\" ><\/figure>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>SAT Maths Subject Test<\/strong><\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><a href=\"https:\/\/leverageedu.com\/blog\/bodmas-questions\/\"><strong>BODMAS Questions<\/strong><\/a><\/p>\n\n\n\n<p><strong>Q 2. Find 1\/2 of&nbsp;<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>24&nbsp;<\/strong><\/li>\n\n\n\n<li><strong>46&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solutions.<\/strong> The answers are given below.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u00bd of 24 = \u00bd \u00d7 24 = 12<\/li>\n\n\n\n<li>\u00bd of 46 = \u00bd \u00d7 46 = 23<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>NCERT Class 8 Maths Syllabus<\/strong><\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><a href=\"https:\/\/leverageedu.com\/blog\/career-after-bsc-maths\/\"><strong>Career after BSc Maths<\/strong><\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exercise-2-2-solutions\">Exercise 2.2 Solutions<\/h3>\n\n\n\n<p><strong>Q 1. Find \u00bc of the following.<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u00bc&nbsp;<\/strong><\/li>\n\n\n\n<li><strong>\u2157&nbsp;<\/strong><\/li>\n\n\n\n<li><strong>4\/3&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solutions. <\/strong>The answers are given below.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u00bc of \u00bc = \u00bc \u00d7 \u00bc = 1\/16&nbsp;<\/li>\n\n\n\n<li>\u00bc of \u2157 = \u00bc \u00d7 \u2157 = 3\/20&nbsp;&nbsp;<\/li>\n\n\n\n<li>\u00bc of 4\/3 = \u00bc \u00d7 4\/3 = \u2153&nbsp;<\/li>\n<\/ol>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><a href=\"https:\/\/leverageedu.com\/blog\/commerce-with-maths\/\"><strong>Top 20 Career Options in Commerce with Maths Stream<\/strong><\/a><\/p>\n\n\n\n<p><strong>Q 2. Which is greater: (2\/7 of \u00be) or (\u2157 of \u215d)?&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solutions.<\/strong> The answers are given below.<\/p>\n\n\n\n<p>2\/7 of \u00be = 2\/7 \u00d7 \u00be = 6\/28 = 3\/14; and<\/p>\n\n\n\n<p>\u2157 of \u215d = \u2157 \u00d7 \u215d = \u215c&nbsp;<\/p>\n\n\n\n<p>Now, taking LCM, the LCM of 8 and 14 is 56.&nbsp;<\/p>\n\n\n\n<p>So, making their denominators the same: 3\/14 \u00d7 4\/4 = 12\/56 and \u215c \u00d7 7\/7 = 21\/56<\/p>\n\n\n\n<p>So, clearly 12\/56 &lt; 21\/56<\/p>\n\n\n\n<p>\u2234 (2\/7 of \u00be) [&lt;] (\u2157 of \u215d)<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>CBSE Class 9 Maths Syllabus<\/strong><\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><a href=\"https:\/\/leverageedu.com\/learn\/business-mathematics\/\"><strong>Business Mathematics<\/strong><\/a><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Fractions &amp; Decimals - Chapter 2 - Introduction - Class 7\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/0vuHnTWs-VY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">Source: Mathematics Class VII<\/figcaption><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-exercise-2-3-solutions\">Exercise 2.3 Solutions<\/h3>\n\n\n\n<p><strong>Q 1. Find 12 \u00f7 \u00be.&nbsp;&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solutions. <\/strong>To find 12 \u00f7 \u00be, we multiply 12 with the reciprocal of the fraction.<\/p>\n\n\n\n<p>12 \u00f7 \u00be = 12 \u00d7 4\/3 = 16<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><strong>Applied Mathematics and Computation<\/strong><\/p>\n\n\n\n<p><strong>Q 2. Find \u2156 \u00f7 \u00bd.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp; <\/strong>To find \u2156&nbsp; \u00f7 \u00bd, we multiply \u2156 with the reciprocal of the fraction \u00bd.&nbsp;<\/p>\n\n\n\n<p>\u2156 \u00f7 \u00bd = \u2156 \u00d7 2\/1 = \u2158&nbsp;<\/p>\n\n\n\n<p class=\"has-pale-cyan-blue-background-color has-background\"><a href=\"https:\/\/leverageedu.com\/blog\/multiplication-and-division-word-problems\/\"><strong>Multiplication and Division Word Problems<\/strong><\/a><\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-350786ce0b780dcc932949c3bd7b9f6b\"><strong>Explore Notes of All subjects of CBSE Class 7:-<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-pale-ocean-gradient-background has-background\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-notes-class-7-english\/\"><strong>CBSE NCERT Notes Class 7 English<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-7-history\/\"><strong>CBSE NCERT Notes Class 7 History<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-6-geography\/\"><strong>CBSE NCERT Notes Class 7 Geography<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-notes-class-7-civics\/\"><strong>CBSE NCERT Notes Class 7 Civics<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/cbse-ncert-maths-class-7-solutions-and-answers\/\"><strong>CBSE NCERT Notes Class 7 Mathematics<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-notes-class-7-science\/\"><strong>CBSE NCERT Notes Class 7 Science<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Check out Maths Class 6 Notes and Exercise Solutions for other chapters below.\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-regular has-medium-font-size\"><table class=\"has-background has-fixed-layout\" style=\"background:linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 100%,rgb(51,167,181) 100%)\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-1-knowing-our-numbers\/\"><strong>Maths Class 6 Chapter 1 Notes &amp; Solutions<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-2-whole-numbers\/\"><strong>Maths Class 6 Chapter 2 Notes &amp; Solutions<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-3-playing-with-numbers\/\"><strong>Maths Class 6 Chapter 3 Notes &amp; Solutions<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-4-basic-geometrical-ideas\/\"><strong>Maths Class 6 Chapter 4 Notes &amp; Solutions<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-class-6-ncert-maths-chapter-5-understanding-elementary-shapes\/\"><strong>Maths Class 6 Chapter 5 Notes &amp; Solutions<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-class-6-maths-chapter-6-integers\/\"><strong>Maths Class 6 Chapter 6 Notes &amp; Solutions<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-class-6-maths-chapter-7-fractions\/\"><strong>Maths Class 6 Chapter 7 Notes &amp; Solutions<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-maths-class-6-chapter-8-decimals\/\"><strong>Maths Class 6 Chapter 8 Notes &amp; Solutions<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/cbse-ncert-maths-class-6-chapter-9-notes\/\"><strong>Maths Class 6 Chapter 9 Notes &amp; Solutions<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/cbse-ncert-class-6-maths-chapter-10\/\"><strong>Maths Class 6 Chapter 10 Notes &amp; Solutions<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-maths-algebra-class-6-chapter-11\/\"><strong>NCERT Maths Algebra Class 6 Chapter 11 Notes<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-maths-ratio-and-proportion-class-6-chapter-12-notes\/\"><strong>NCERT Maths Practical Geometry Class 6 Chapter 12<\/strong><\/a><strong>&nbsp;<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-maths-symmetry-class-6-chapter-13-notes\/\"><strong>NCERT Maths Symmetry Class 6 Chapter 13 Notes<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-maths-practical-geometry-class-6-chapter-14-notes-and-solutions-pdf\/\"><strong>NCERT Maths Practical Geometry Class 6 Chapter 14 Notes<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\">FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1698477631808\"><strong class=\"schema-faq-question\">Q.1. <strong>How do multiplication of a fraction by a whole number?<\/strong><\/strong> <p class=\"schema-faq-answer\">Ans: To multiply a whole number with a proper or an improper fraction, we multiply the whole number with the numerator of the fraction, keeping the denominator the same.<br\/><br\/>Note:- To multiply a mixed fraction to a whole number, first convert the mixed fraction to an improper fraction and then multiply.\u00a0<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1698477650120\"><strong class=\"schema-faq-question\">Q.2. How to divide a whole number by a fraction?<\/strong> <p class=\"schema-faq-answer\">Ans: To divide a whole number by any fraction, multiply that whole number by the reciprocal of that fraction.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1698477721314\"><strong class=\"schema-faq-question\">Q.3. How to divide a decimal number by a whole number?<\/strong> <p class=\"schema-faq-answer\">Ans: To divide a decimal number by a whole number, we first divide them as whole numbers. Then place the decimal point in the quotient as in the decimal number.<br\/>For example, 8.4 \u00f7 4 = 2.1<\/p> <\/div> <\/div>\n\n\n\n<p>This was all about NCERT Class 7 Maths Chapter 2, Fractions and Decimals in which we studied the different properties of integers. Download the NCERT Class 7 Maths Chapter 2 Notes and Solutions PDF to ace your exam preparations. Follow the <a href=\"https:\/\/leverageedu.com\/discover\/school-education\/ncert-study-material\/cbse-ncert-maths-class-7-solutions-and-answers\/\"><strong>CBSE Class 7 Maths Solutions and Notes<\/strong><\/a> for more such chapter notes and important questions and answers for preparation for CBSE Class 7 Maths.&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"Until now, we have studied all about the integers, the positive and negative integers, representing integers on the&hellip;\n","protected":false},"author":70,"featured_media":794378,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[477,389],"tags":[],"class_list":{"0":"post-794368","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-ncert-study-material","8":"category-school-education"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions and Notes for Class 7 Maths Chapter 2: Fractions Notes and Solutions (Free PDF) | Leverage Edu Discover<\/title>\n<meta name=\"description\" content=\"NCERT Class 7 Maths Chapter 2 fractions and decimals in detail. 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I am Priya. I provide all sorts of educational content. Working in the content domain for the past seven years, I give the most precise student-friendly information. Professionally, I am a Chemist. So, ethically I don't let any error pass on to the content. All my content is fact-based and contains detailed knowledge of the subject.","sameAs":["http:\/\/www.linkedin.com\/in\/priya-garg-ba4478134"],"url":"https:\/\/leverageedu.com\/discover\/author\/priya\/"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/#faq-question-1698477631808","position":1,"url":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/#faq-question-1698477631808","name":"Q.1. How do multiplication of a fraction by a whole number?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Ans: To multiply a whole number with a proper or an improper fraction, we multiply the whole number with the numerator of the fraction, keeping the denominator the same.<br\/><br\/>Note:- To multiply a mixed fraction to a whole number, first convert the mixed fraction to an improper fraction and then multiply.\u00a0","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/#faq-question-1698477650120","position":2,"url":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/#faq-question-1698477650120","name":"Q.2. How to divide a whole number by a fraction?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Ans: To divide a whole number by any fraction, multiply that whole number by the reciprocal of that fraction.","inLanguage":"en-US"},"inLanguage":"en-US"},{"@type":"Question","@id":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/#faq-question-1698477721314","position":3,"url":"https:\/\/leverageedu.com\/discover\/school-education\/ncert-class-7-maths-chapter-2-fractions-notes-and-solutions-pdf\/#faq-question-1698477721314","name":"Q.3. How to divide a decimal number by a whole number?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Ans: To divide a decimal number by a whole number, we first divide them as whole numbers. Then place the decimal point in the quotient as in the decimal number.<br\/>For example, 8.4 \u00f7 4 = 2.1","inLanguage":"en-US"},"inLanguage":"en-US"}]}},"acf":[],"_links":{"self":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/794368","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/users\/70"}],"replies":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/comments?post=794368"}],"version-history":[{"count":0,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/posts\/794368\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media\/794378"}],"wp:attachment":[{"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/media?parent=794368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/categories?post=794368"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/leverageedu.com\/discover\/wp-json\/wp\/v2\/tags?post=794368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}