# Mixed numbers and improper fractions

A whole number can be written as , , , etc.

So can be written as:

## Mixed numbers

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.

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.