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?

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.

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

To Find One Third -

One third is 1 part of 3 equal parts.

9 ÷ 3 = 3 \(\frac{1}{3}\) of 9 is 3.

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.

8 ÷ 4 = 2 \(\frac{1}{4}\) of 8 is 2.

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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