Fraction of a Whole Number
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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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:
\[ {4 \over 5} \; of \; 30 \; is \; the \; same \; as \; {4 \over 5} \times 30 \]
Fraction of a Whole Number Examples
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.
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
Sheet 2 - Fraction of a number problems
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.
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.
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.
Fractions of a Whole Number Online Quiz
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This quick quiz tests your knowledge and skill at finding proper fractions of a range of numbers with our online quiz.
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