Finding a Fraction of a Whole Number

How to find a fraction of a whole number?

For finding a fraction of a whole number, we multiply the numerator of the fraction by the given number and then divide the product by the denominator of the fraction.

Solved examples for finding a fraction of a whole number:

(i) Find 1/3 of 21.

To find 1/3 of 21, we multiply the numerator 1 by the given whole number 21 and then divide the product 21 by the denominator 3.

1/3 × 21 = 1 × 21/3 = 21/3 = 7

So, 1/3 of 21 = 7.

(ii) Find 2/5 of 15.

To find 2/5 of 15, we multiply the numerator 2 by the given whole number 15 and then divide the product 30 by the denominator 5.

2/5 × 15 = 2 × 15/5 = 30/5 = 6

So, 2/5 of 15 = 6.


(iii) Find 3/8 of 48.

To find 3/8 of 48, we multiply the numerator 3 by the given whole number 48 and then divide the product 144 by the denominator 8.

3/8 × 48 = 3 × 48/8 = 144/8 = 18

So, 3/8 of 48 = 18.

Finding Fractions:

To Find Half -

Ram has 20 biscuits. He wants to give half of them to his sister. How many should he give her?

To Find Half

Ram has to give 1 of 2 equal parts to his sister. So, to put the collection in two equal parts, divide it by two i.e. 20 ÷ 2 = 10.

Collection in Two Equal Parts

Ram will give one part (10 biscuits) to his sister.

To Find One Third -

One third is 1 part of 3 equal parts.

To Find One Third

9 ÷ 3 = 3

\(\frac{1}{3}\) of 9 is 3.

Collection in Three Equal Parts

To put a collection in three equal parts, divide it by three.

One part of it is \(\frac{1}{3}\).

To Find One Fourth -

One fourth is I part of 4 equal parts.

To Find One Fourth

8 ÷ 4 = 2

\(\frac{1}{4}\) of 8 is 2.

Collection in Four Equal Parts

To put a collection in four equal parts, divide it by four.

One part of its is \(\frac{1}{4}\).

Story Sums on Finding a Fraction of a Whole Number:

1. There are 10 children in a classroom. If half of them were boys then how many girls were there?

Answer: 5

2. Neetu had 8 toffees. She ate half of them. How is she left with now?

Answer: 4

3. Amit had 6 balloons. One third of the balloons burst. How many balloons are left?

Answer: 4

4. Sita had 24 biscuits. She gave one fourth to her mother. How many biscuits were left?

Answer: 18

5. 10 friends shared 5 cold drinks. What fraction of cold drink did each friend get?

Answer: \(\frac{5}{10}\) or \(\frac{1}{2}\)

6. Neeta bought 5 chocolates. She eats 3 of them. What fraction of the chocolates did she eat?

Answer: \(\frac{3}{5}\)

7. There were nine flower pots in Aman's garden. 4 pots fell down. What fraction of pots are left in his garden. 

Answer: \(\frac{5}{9}\)

Related Concept

Fraction of a Whole Numbers

Representation of a Fraction

Equivalent Fractions

Properties of Equivalent Fractions

Like and Unlike Fractions

Comparison of Like Fractions

Comparison of Fractions having the same Numerator

Types of Fractions

Changing Fractions

Conversion of Fractions into Fractions having Same Denominator

Conversion of a Fraction into its Smallest and Simplest Form

Addition of Fractions having the Same Denominator

Subtraction of Fractions having the Same Denominator

Addition and Subtraction of Fractions on the Fraction Number Line

4th Grade Math Activities

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