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Use Fractions as Operators

In this worksheet, students will find fractions of amounts by applying the rule: 'Divide by the denominator, multiply by the numerator'.

'Use Fractions as Operators' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel, OCR, Eduqas, AQA,

Curriculum topic:   Number, Fractions, Decimals and Percentages

Curriculum subtopic:   Structure and Calculation Fractions Percentages Fractions, Decimals and Percentages

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Using fractions as operators is quite a mouthful, so we usually simplify it to 'finding a fraction of an amount'.

 

Imagine that you have a budget which you need to share between members of a team. 

You may want to give a quarter of the budget to one person and three-quarters to another. 

How would you do this?

 

 

You need to remember one key fact when finding fractions of an amount: 

Divide by the denominator, multiply by the numerator.

 

 

 

e.g. Work out

2
7
of 35

 

To work this out, we need to know that the word of in maths just means multiply.

So what we're actually working out is:

2
7
x 35

 

If we look back to our rule: Divide by the denominator, multiply by the numerator.

We need to divide 35 by 7 which gives us 5.

We then must multiply 5 by 2 to get 10.

 

So two-sevenths of 35 is 10.

Job done!

 

 

In this activity, you will find fractions of amounts by applying the rule:

Divide by the denominator, multiply by the numerator. 

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