Mastering Fractions and Decimals Questions and Answers | Quantitative Aptitude

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Fractions and Decimals Questions

Most students find mathematics to be difficult. The subject might cause your head to spin around. However, understanding mathematical problems can get easier if your basics are rock-solid.In this article, we will discuss Fractions and Decimals questions which are a very important part of quantitative aptitude exams like the GMAT, GRE, and SAT. There is a portion in this article with Fractions and Decimals questions and answers along with an explanation for different online exam preparation. You may understand the subject by answering Decimal Fraction Questions with thorough explanations and descriptions.

What are Fractions?

One way to think of a fraction is as a portion of a whole number. There are two parts to a fraction: the numerator and the denominator. Fractions are a useful mathematical form that may be applied to many tasks. Based on the comparison between single fractions and multiple fractions, they are of five types:

Proper Fractions Numerator < Denominator; Value < 1 after simplification3/5, 2/3, 9/11
Improper Fractions Numerator > Denominator; Value >= 1 after simplification5/2, 9/5, 10/6
Mixed Fractions Combination of whole numbers and fractions; Can be converted to proper fractions2 ⅓, 3 ⅓
Like Fractions Fractions with the same denominator1/2, 3/2, 5/2, 2/2
Unlike Fractions Fractions with different denominators; More complex to simplify1/2, 1/3, 1/4, 1/5

Must Read: Fractions and Decimals Class 7 Notes PDF Download

What are Decimals?

In arithmetic Math, decimal numbers can be characterized as numbers with a whole number part and a fractional part separated by a decimal point. Below we have mentioned the types of decimals:

Recurring (Repeating or
Digits after the decimal point
repeat infinitely.
3.125125 (finite)3.1212121212… (infinite)
Non-Recurring (Non-Repeating or Terminating)
Digits after the decimal point
do not repeat.
3.2376 (finite), 3.137654… (infinite)
Decimal FractionRepresents a fraction with a denominator in powers of 10. 81.75 = 8175/100

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Difference between Fractions and Decimals Questions

Fractions and decimals are interconnected yet are different from each other. One of the major differences between the two is that fractions are simple expressions of ratios of whole numbers. They are not divided by decimals. On the other hand, decimals represent infinite numbers such as the value of pi. Read the below table to get a better understanding:

Representationp/q (where q ≠ 0)Whole number part is connected to the fractional part via a decimal point
The type of numbers representedRatios of whole numbersCan represent both finite and infinite numbers, such as the value of pi
Division by decimalsNot applicablePossible, as decimals involve division
Common examples1/2, 3/4, 5/60.5, 0.75, 0.333… (repeating)
Conversion between the twoConvert to decimal: Divide the numerator by the denominator.Ex-Convert 8/10 to decimal; 8/10 = 0.8Convert to fraction: Write the decimal as a fraction, simplify if possible.Ex-Express 1.25 as a fraction;1.25 = 125 x (1/100) = 125/100 = 5/4

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Fractions and Decimals Questions and Answers

Practice MCQ Questions for Fractions and decimals questions daily and score well in exams. Refer to the Fractions and Decimals MCQs listed below:

Question: What is 23+5632​+65​?

A) 7997​

B) 11181811​

C) 5995​

D) 1221​

Answer: B) 11181811​

Question: If Sarah walks 3443​ of a mile to school and 2552​ of a mile to the library, how many miles does she walk in total?

A) 11202011​ miles

B) 13202013​ miles

C) 3993​ miles

D) 11121211​ miles

Answer: B) 13202013​ miles

Question: What is 38−1483​−41​?

A) 1881​

B) 1221​

C) 5885​

D) 1441​

Answer: A) 1881​

Question: If John reads 2332​ of a book on Monday and 3553​ of the remaining book on Tuesday, what fraction of the book does he have left to read?

A) 115151​

B) 1331​

C) 1551​

D) 1661​

Answer: C) 1551​

Question: What is 5665​ of 3443​?

A) 1441​

B) 5885​

C) 5995​

D) 3553​

Answer: B) 5885​

Question: If Tim runs 4774​ a mile in the morning and 3553​ of a mile in the evening, how much farther does he run in the evening?

A) 135351​ miles

B) 11353511​ miles

C) 1771​ miles

D) 11141411​ miles

Answer: B) 11353511​ miles

Question: What is 5885​ of 3443​?

A) 15323215​

B) 532325​

C) 5665​

D) 3883​

Answer: A) 15323215​

Question: If Maria can paint 3553​ of a room in 2 hours, how long will it take her to paint the entire room?

A) 1 hour

B) 3 hours

C) 4 hours

D) 3.5 hours

Answer: B) 3 hours

Question: What is 4554​ of 7887​?

A) 710107​

B) 740407​

C) 7997​

D) 712127​

Answer: B) 740407​

Question: If 3443​ of a tank can be filled in 15 minutes, how long will it take to fill the entire tank?

A) 20 minutes

B) 45 minutes

C) 60 minutes

D) 12 minutes

Answer: C) 60 minutes

Question: If 2/3 of a pizza has been eaten and then 1/4 of the remaining pizza is eaten, what fraction of the original pizza remains uneaten?

A) 5/12

B) 7/12

C) 3/7

D) 5/6

Answer: A) 5/12

Question: Sarah runs 3/5 of a mile on Monday and 4/7 of a mile on Wednesday. How many miles did she run in total?

A) 27/35 miles

B) 17/35 miles

C) 1 1/10 miles

D) 1 2/5 miles

Answer: A) 27/35 miles

Question: What is 3/8 of 2/5?

A) 3/10

B) 3/40

C) 6/15

D) 5/16

Answer: B) 3/40

Question: If 5/6 of a cake is shared equally among 4 people, what fraction of the cake does each person receive?

A) 1/6

B) 5/24

C) 5/18

D) 5/12

Answer: C) 5/18

Question: If 3/4 of a yard of fabric costs $6, how much does 1/2 of a yard of the same fabric cost?

A) $3

B) $4.50

C) $5

D) $2.25

Answer: B) $4.50

Question: Emma walks 2/3 of a mile in the morning and 3/8 of a mile in the evening. How much farther does she walk in the morning?

A) 1/8 miles

B) 5/24 miles

C) 5/12 miles

D) 7/24 miles

Answer: D) 7/24 miles

Question: What is 4/5 of 3/4?

A) 12/20

B) 7/15

C) 1 3/20

D) 12/15

Answer: D) 12/15

Question: If 3/7 of a bag of marbles are red and 1/3 of the remaining marbles are blue, what fraction of the bag is blue marbles?

A) 1/21

B) 1/9

C) 1/7

D) 1/5

Answer: A) 1/21

Question: If 5/6 of a tank can hold 25 gallons of water, how much water can the entire tank hold?

A) 20 gallons

B) 27 gallons

C) 30 gallons

D) 36 gallons

Answer: C) 30 gallons

Question: What is 2/3 of 3/4?

A) 1/2

B) 1/3

C) 1/6

D) 1/12

Answer: A) 1/2

Question: If 3/5 of a box contains red balls and 2/7 of the remaining balls are green, what fraction of the balls in the box are green?

A) 1/5

B) 3/35

C) 2/7

D) 2/5

Answer: B) 3/35

Question: If 4/9 of a garden is planted with roses and 1/3 of the remaining garden is planted with tulips, what fraction of the garden is planted with tulips?

A) 4/27

B) 1/3

C) 5/27

D) 2/9

Answer: A) 4/27

Question: What is 5/6 of 2/3?

A) 5/18

B) 5/9

C) 10/18

D) 10/9

Answer: A) 5/18

Question: If 3/4 of a cake is eaten, and then 1/3 of the remaining cake is eaten, what fraction of the cake remains uneaten?

A) 1/3

B) 1/4

C) 1/6

D) 1/12

Answer: C) 1/6

Question: If 2/5 of a group of students are boys and 3/8 of the remaining students are girls, what fraction of the group are girls?

A) 3/10

B) 1/2

C) 7/20

D) 1/5

Answer: A) 3/10

Question: If 3/4 of a pizza is divided equally among 6 people, what fraction of the pizza does each person receive?

A) 1/8

B) 1/4

C) 1/6

D) 1/12

Answer: C) ⅙

Question: What is 7/10 of 5/6?

A) 7/12

B) 7/15

C) 7/20

D) 35/60

Answer: A) 7/12

Question: If 3/5 of a tank can hold 15 liters of water, how much water can the entire tank hold?

A) 9 liters

B) 18 liters

C) 25 liters

D) 20 liters

Answer: B) 18 liters

Question: Samantha reads 2/3 of a book on Monday and 3/4 of the remaining book on Tuesday. What fraction of the book does she have left to read?

A) 1/3

B) 1/4

C) 1/6

D) 1/8

Answer: D) ⅛

Question: If 4/7 of a rope is cut off, and then 2/5 of the remaining rope is cut off, what fraction of the original rope remains?

A) 12/35

B) 3/14

C) 8/35

D) 2/5

Answer: C) 8/35

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What is a decimal fraction for example?

A decimal fraction is a fraction whose denominator is a power of 10. For example, 0.5, 0.75, and 0.125 are decimal fractions.

How do you solve decimal fraction problems?

To solve decimal fraction problems, you can use operations like addition, subtraction, multiplication, and division, similar to whole numbers, but maintaining decimal point alignment.

How do you solve fractions to decimals?

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/4 becomes 0.75 when divided.

What are examples of decimals to fractions?

Examples of decimals to fractions conversion are:0.5 becomes ½,0.75 becomes 3/4, and 0.125 becomes ⅛, etc.

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