**Dividing decimals by whole numbers** works the same way as dividing whole numbers except, just like addition and subtraction of decimals, the decimal point must be kept **in line**.

Work out .

Equivalent fractions can be used to divide numbers by decimals.

For example, is the same as .

- First, note that 0.2 has one decimal place, so multiply the numerator and denominator by 10 to get a whole number. This gives: (which is equivalent to )
- Next, work out .

, so must also equal 20.

- Question
Work out .

**Using equivalent fractions**is the same as .

- Note that 0.09 has two decimal places, so multiply the denominator by 100 to get a whole number. Multiply the numerator by 100 as well in order to make an equivalent fraction. This gives .
- Next work out .