## Award in Mathematics -

## Number and Measure (Level 1)

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## Topic 11: Calculating fractions

A fraction is a device for measuring part of something.

It shows the size of the part compared to the whole.

Simple fraction diagrams illustrate this.

We can talk about fractions of objects:

⅔ ("two thirds") of the apples are green.

We can also talk about fractions of numbers.

Here are some simple examples:

½ ("half") of 20 is 10.

½ ("half") of 100 is 50.

¼ ("quarter") of 8 is 2.

There is an easy rule that will allow you to find any fraction of any number:

"Multiply by the numerator and divide by the denominator"

(Multiply by the top and divide by the bottom).

So, to find ½ of 380, calculate 380 × 1 ÷ 2.

380 × 1 ÷ 2 = 190

To find ¼ of 700, calculate 700 × 1 ÷ 4.

700 × 1 ÷ 4 = 175

To find ¾ of 56, calculate 56 × 3 ÷ 4.

56 × 3 ÷ 4 = 42

To find ⅚ of 300, calculate 300 × 5 ÷ 6.

300 × 5 ÷ 6 = 250