Subscribe to our YouTube channel for the latest videos, updates, and tips.


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 \(\frac{1}{3}\) of 21.

To find \(\frac{1}{3}\) of 21, we multiply the numerator 1 by the given whole number 21 and then divide the product 21 by the denominator 3.

\(\frac{1}{3}\) × 21 = \(\frac{1 × 21}{3}\) = \(\frac{21}{3}\) = 7

So, \(\frac{1}{3}\) of 21 = 7.

(ii) Find \(\frac{2}{5}\) of 15.

To find \(\frac{2}{5}\) of 15, we multiply the numerator 2 by the given whole number 15 and then divide the product 30 by the denominator 5.

\(\frac{2}{5}\) × 15 = \(\frac{2 × 15}{5}\) = \(\frac{30}{5}\) = 6

So, \(\frac{2}{5}\) of 15 = 6.

 

(iii) Find \(\frac{3}{8}\) of 48.

To find \(\frac{3}{8}\) of 48, we multiply the numerator 3 by the given whole number 48 and then divide the product 144 by the denominator 8.

\(\frac{3}{8}\) × 48 = \(\frac{3 × 48}{8}\) = \(\frac{144}{8}\) = 18

So, \(\frac{3}{8}\) of 48 = 18.


Finding Fractions:

To Find Half or One Half -

1. 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.


Chocolate Bar - Fraction

2. David gave his brother Matthew part of his chocolate bar.

Did Matthew get half the chocolate?

No, because we call one of two equal parts half. Equal means that the parts are of the same size.

This shape has two equal parts

This shape has two equal parts.


When a whole is divided into two equal parts, each part is called one half.

One-Half is Blue

One of the two equal parts is blue we say that one-half is blue.

We write: \(\frac{1}{2}\) blue.


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 \(\frac{1}{3}\).

3 Equal Parts

When a whole is divided into three equal parts, each part is called one-third.


One-third is Blue

One of the three parts is blue.


We say: One-third is blue.

We write: \(\frac{1}{3}\) is blue.

Two-Thirds is Yellow

Two of the three parts are yellow.

We say: Two-thirds is yellow.

We write: \(\frac{2}{3}\) is yellow.


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 \(\frac{1}{4}\).


One-Fourth of a Square

When a whole is divided into four equal parts, each part is called one-fourth.

One-Fourth is Green

One of the four parts is green.

We say: One-fourth is green.

We write: \(\frac{1}{4}\) is green.

Two-Fourths is Green

Two of the four parts are green.

We say: Two-fourths is green.

We write: \(\frac{2}{4}\) is green.

Three-Fourths is Green

Three of the four parts are green.

We say: Three-fourths is green.

We write: \(\frac{3}{4}\) is green.

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

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

From Finding a Fraction of a Whole Number to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Speed Distance and Time | Relation between Speed Distance and Time

    May 21, 25 12:58 PM

    Speed is defined as the distance covered per unit time. Speed = (Distance Travelled)/(Time Taken) Or, S = D/T. Speed also requires a unit of measurement. If the distance is in kilometres

    Read More

  2. Math Problem Answers | Solved Math Questions and Answers | Free Math

    May 21, 25 12:45 PM

    Partial fraction
    Math problem answers are solved here step-by-step to keep the explanation clear to the students. In Math-Only-Math you'll find abundant selection of all types of math questions for all the grades

    Read More

  3. Test of Divisibility | Divisibility Rules| Divisible by 2, 3, 5, 9, 10

    May 21, 25 10:29 AM

    The test of divisibility by a number ‘x’ is a short-cut method to detect whether a particular number ‘y’ is divisible by the number ‘x’ or not. Test of divisibility by 2: A number is divisible by 2

    Read More

  4. Divisible by 7 | Test of Divisibility by 7 |Rules of Divisibility by 7

    May 21, 25 10:17 AM

    Divisible by 7
    Divisible by 7 is discussed below: We need to double the last digit of the number and then subtract it from the remaining number. If the result is divisible by 7, then the original number will also be

    Read More

  5. Average Word Problems | Worksheet on Average Questions with Answers

    May 20, 25 05:40 PM

    In average word problems we will solve different types of problems on basic concept of average. 1. Richard scored 80, 53, 19, 77, 29 and 96 runs in 6 innings in a series. Find the average runs scored…

    Read More