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: $\frac{5}{9}$

You might like these

Terms Used in Division | Dividend | Divisor | Quotient | Remainder
The terms used in division are dividend, divisor, quotient and remainder. Division is repeated subtraction. For example: 24 ÷ 6 How many times would you subtract 6 from 24 to reach 0?
Numbers Showing on Spike Abacus | Spike Abacus | Name of a Number
Numbers showing on spike abacus helps the students to understand the number and its place value. Spike abacus is very helpful to understand the concept of magnitude and name of a number.
Successor and Predecessor | Successor of a Whole Number | Predecessor
The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number. For example, 9,99,99,999 is predecessor of 10,00,00,000 or we can also
Worksheets on Comparison of Numbers | Find the Greatest Number
In worksheets on comparison of numbers students can practice the questions for fourth grade to compare numbers. This worksheet contains questions on numbers like to find the greatest number, arranging the numbers etc…. Find the greatest number:
Comparison of Numbers | Compare Numbers Rules | Examples of Comparison
Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits from left most place until we come across unequal digits. To learn
Formation of Numbers | Smallest and Greatest Number| Number Formation
In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,
Formation of Greatest and Smallest Numbers | Arranging the Numbers
the greatest number is formed by arranging the given digits in descending order and the smallest number by arranging them in ascending order. The position of the digit at the extreme left of a number increases its place value. So the greatest digit should be placed at the
Place Value | Place, Place Value and Face Value | Grouping the Digits
The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know that the position of a digit in a number determines its corresponding value
Expanded Form of a Number | Writing Numbers in Expanded Form | Values
We know that the number written as sum of the place-values of its digits is called the expanded form of a number. In expanded form of a number, the number is shown according to the place values of its digits. This is shown here: In 2385, the place values of the digits are
Worksheet on Place Value | Place Value of a Digit in a Number | Math
Worksheet on place value for fourth grade math questions to practice the place value of a digit in a number. 1. Find the place value of 7 in the following numbers: (i) 7531 (ii) 5731 (iii) 5371