Fantastic work! You have decided to spend some time practising for the SATs Maths tests.

This activity is going to focus on practising your ability to convert between decimal numbers, fractions and percentages.

You will also be asked to complete worded problems involving these types of conversions.

**Fractions, decimal numbers and percentages** are just three ways of saying the same thing.

**1⁄2 = 0.5 = 50%**

Fractions, decimals and percentages all represent parts of a whole.

All three of these Maths terms look quite different but don't worry, this activity is a great way for you to learn about the relationship between them.

How do we convert a fraction to a decimal number?

To convert a fraction to a decimal number, we divide its numerator (top number) by its denominator (bottom number).

The line separating a fraction has the same meaning as the ÷ sign.

1⁄2 = 1 ÷ 2= 0.5

3⁄4 = 3 ÷ 4 = 0.75

Remember to use the **bus stop method of division** to help you solve the sum.

How do we convert between decimal numbers and percentages?

To convert a decimal number to a percentage, we multiply the decimal number by **100**.

Remember, when you multiply by 100, move all of the digits two places to the left.

0.75 x 100% = 75.0% = 75%

Look at the place value chart below to see the movement of the digits.

Hundreds |
Tens |
Ones |
. |
Tenths |
Hundredths |

0 |
. | 7 |
5 |
||

7 |
5 |
. | 0 |

To convert a percentage to a decimal number, we divide the decimal number by 100.

Remember, when you divide by 100, move all of the digits two places to the right.

75% ÷ 100 = 0.75

Look at the place value chart below to see the movement of the digits.

Hundreds |
Tens |
Ones |
. |
Tenths |
Hundredths |

7 |
5 |
. | 0 |
||

0 |
. | 7 |
5 |

Over to you now to have a go at some practice questions...good luck!