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.
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 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
● Representation of a Fraction
● Properties of Equivalent Fractions
● Comparison of Like Fractions
● Comparison of Fractions having the same Numerator
● 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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