Fractions represent part of a whole number. Fractions, decimals and percentages can all have the same values and you may find it useful to know how to convert between them.

is known as a mixed number, because it is made up of a whole number and a fraction.

Improper fractions

is called an improper fraction, because the top number is bigger than the bottom number.

Converting from a mixed number to an improper fraction

You can write the whole number part as a fraction, with the same denominator as the other fraction, and then add the fractions together.

Example

Here is another example:

Converting from improper fractions to mixed numbers

You can separate the fraction into as many whole numbers as possible, with a smaller remaining fraction.

Example

Another way to convert an improper fraction is to find how many whole numbers you get, by using a division.

For example let's convert to a mixed number again.

We start by dividing the top number by the bottom number.

divided by is remainder .

So the whole number part is , and the remainder means there are left over.

So the answer is

Question

Write as a mixed number.

Method 1:

Method 2:

remainder , so:

Using a calculator

If your calculator has a fraction button you can use this to convert from improper fractions to mixed numbers. Type in the improper fraction, press '', and the calculator will convert it to a mixed number.