Fraction of a Whole Number

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Welcome to our Fraction of a Whole Number support page. On this page we can help you learn to find a fraction of a number with clear step-by-step instructions and some worked examples.

We also have lots of practice sheets with different levels of support for you to try.

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How to find a Fraction of a Whole Number
Fraction of a Number Worksheets
Fraction of a Number Word Problems
More related resources
Fraction of a Whole Number Online Quiz

Fraction of a Whole Number Support Page

Here you will find some simple information and advice about Fraction of a Whole Number.

At the bottom of this page you will also find two printable resource sheets which explain about how to calculate fractions in a little more detail.

Before you start learning to calculate fractions of numbers, you should be able to work out fractions of shapes.

How to find a fraction of a whole number

Here are the two easy steps for finding the fraction of a number:

Step 1 - Find the unit fraction by dividing the number by the denominator

Step 2 - Multiply by the numerator.

You should have now found your fraction of a number!

PLEASE NOTE:

Finding a fraction of a whole number is the same as multiplying the fraction by the whole number.

In other words:

\[ {4 \over 5} \; of \; 30 \; is \; the \; same \; as \; {4 \over 5} \times 30 \]

Examples of Fraction of a Whole Number

Example 1) \[ Find \; {5 \over 6} \; of \; 24 \]

Step 1)

A unit fraction is a fraction where the numerator is equal to 1.

To find the unit fraction of a number, you need to divide the number by the denominator.

This gives us: \[ {1 \over 6} \; of \; 24 \; = \; 24 ÷ 6 \; = \; 4 \]

Step 2)

To find five-sixths, we need to multiply our answer by the numerator which is 5.

So \[ {5 \over 6} \; of \; 24 = ({1 \over 6} \; of \; 24) \times 5 = 4 \times 5 = 20 \]

Example 2) \[ Find \; {3 \over 7} \; of \; 35\]

Step 1)

To find the unit fraction, we need to divide the number by the denominator.

This gives us: \[ {1 \over 7} \; of \; 35 \; = \; 35 ÷ 7 \; = \; 5 \]

Step 2)

To find three-sevenths, we need to multiply our answer by the numerator which is 3.

So \[ {3 \over 7} \; of \; 35 = ({1 \over 7} \; of \; 35) \times 3 = 5 \times 3 = 15 \]

Example 3) \[ Find \; {3 \over 10} \; of \; $230\]

Step 1)

To find the unit fraction, we need to divide the number by the denominator.

This gives us: \[ {1 \over 10} \; of \; $230 = $230 ÷ 10 = $23 \]

Step 2)

To find three-tenths, we need to multiply our answer by the numerator which is 3.

So \[ {3 \over 10} \; of \; $230 = ({1 \over 10} \; of \; $230) \times 3 \] and \[ ({1 \over 10} \; of \; $230) \times 3 = $23 \times 3 = $69 \]

Final answer \[ {3 \over 10} \; of \; $230 \; = \; $69 \]

How to calculate fractions - the algebra...

For those of you who like to see things in Algebra...this is what it looks like

If we want to work out: \[ {a \over b} \; of \; a \; number \; n \]

First we work out: \[ {1 \over b} \; of \; n = {n \over b} \; \; or \; n ÷ b \]

Next we need to multiply this by the numerator a.

This gives us: \[ {a \over b} \; of \; n = {n \over b} \times a = {na \over b} \; \; or \; na ÷ b \]

How do you find fractions of a number support sheet

This printable support sheet below gives a little more detail about finding fractions of numbers including a step-by-step visual guide to how and why it works.

$how to calculate fractions of a number$

Fraction of a whole number worksheets

Fraction of a whole number problems

These problems all involve finding the fraction of a whole number.

There are 3 versions of each sheet:

Sheets 1a and 2a are the easiest. They mainly involve finding simple unit fractions of small numbers.
Sheets 1b and 2b are a little harder. They involve finding (mainly unit) fractions of larger numbers.
Sheets 1c and 2c are hardest. They involve finding non-unit fractions of larger numbers.

Sheet 1 - Fraction of a number problems

$fraction of a number problems 1a$

$fraction of a number problems 1b$

$fraction of a number problems 1c$

Sheet 2 - Fraction of a number problems

$fraction of number problems 2a$

$fraction of number problems 2b$

$fraction of number problems 2c$

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Practice your Fraction of a Number skills online

Want to practice your skills online?

We have a fraction of a whole number practice area where you can practice finding different fractions of numbers.

Just follow the link below.

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Online Fraction of Number Practice Zone

More Fractions of a Whole Number Worksheets

We also have a page of 3rd grade worksheets about finding unit fractions of whole numbers.

Unit fractions are fractions with a numerator of 1. The sheets are easier than those on this page.

There is also a randomly worksheet generator for you to make you own fractions of a number worksheets to meet your needs.

Using these sheets will help your child to:

develop an understanding of fractions as parts of a whole;
know how to calculate unit fractions of a range of numbers.

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Unit Fraction of Numbers (3rd Grade)

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Fractions of Whole Numbers Worksheets (Randomly Generated)

Learning Fractions Math Help Page

Here you will find the Math Salamanders free online Math help pages about Fractions.

There is a wide range of help pages including help with:

fraction definitions;
equivalent fractions;
converting improper fractions;
how to add and subtract fractions;
how to convert fractions to decimals and percentages;
how to simplify fractions.

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Learning Fractions Support

Fractions of a Whole Number Online Quiz

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

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We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at finding proper fractions of a range of numbers with our online quiz.

How to Print or Save these sheets

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