In this activity, we will be learning how to express **fractions **as **decimals** and **percentages. **

Decimals are a way of showing fractions using **place value.**

Percentages are a way of showing fractions as a value **out of one hundred.**

Let's see what this means.

In this rectangle, 3 tenths are shaded green, 6 tenths are shaded yellow and one tenth red.

We can express 3/10 as the **equivalent fraction** 30/100, or 30%.

There are other ways to write these fractions using equivalent fractions, decimals or percentages.

This table shows some other common fractions and decimals as their **percentage **equivalent.

If we remember that the columns after the decimal point are tenths, hundredths and thousandths, this will help us convert fractions to decimals:

2/10 = 0.2

5/100 = 0.05

8/1000 = 0.008

Percentage is **out of 100:**

3/10 = 30/100 = **30%**

0.7 = 7/10 = 70/100 = **70%**

Let's try an example question.

**Example**

Ben bakes 10 cakes.

Sally eats 6 of them

What percentage does Ben have left?

**Answer**

Ben starts with 10 cakes.

Sally eats 6 - she must have been hungry!

Ben has** 4 **cakes left **out of 10. **

We can write this as the fraction **4/10.**

We can make an equivalent fraction of **4/10 = 40/100.**

Percentages means 'out of one hundred'.

So, Ben has only **40%** of his cupcakes left.

Now it's your turn to try some questions like this!