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.
Quicklinks to ...
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.
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:
\[ {4 \over 5} \; of \; 30 \; is \; the \; same \; as \; {4 \over 5} \times 30 \]
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 \[ {5 \over 6} \; of \; 24 = ({1 \over 6} \; of \; 24) \times 5 = 4 \times 5 = 20 \]
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 \[ {3 \over 7} \; of \; 35 = ({1 \over 7} \; of \; 35) \times 3 = 5 \times 3 = 15 \]
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 \[ {3 \over 10} \; of \; $230 \; = \; $69 \]
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: \[ {a \over b} \; of \; n = {n \over b} \times a = {na \over b} \; \; or \; na ÷ b \]
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.
These problems all involve finding the fraction of a whole number.
There are 3 versions of each sheet:
Take a look at some more of our worksheets similar to these.
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.
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:
Here you will find the Math Salamanders free online Math help pages about Fractions.
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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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