Fractions, decimals and percentages are different ways of representing the same value. Being able to convert between them helps you compare numbers, solve problems, and interpret real-life information such as discounts and probabilities.

A fraction shows a part of a whole. A decimal is another way of writing the same value using place value. A percentage means “out of 100”.

To convert a fraction to a decimal, divide the numerator by the denominator.

$$
\frac{3}{4} = 0.75
$$

To convert a decimal to a percentage, multiply by \(100\).

$$
0.75 = 75\%
$$

To convert a percentage to a decimal, divide by \(100\).

$$
18\% = 0.18
$$

To convert a percentage to a fraction, write it over \(100\) and simplify if possible.

$$
25\% = \frac{25}{100} = \frac{1}{4}
$$

Some values are especially important to recognise because they appear often. These are called common equivalences.

$$
\frac{1}{2} = 0.5 = 50\%
$$

$$
\frac{1}{4} = 0.25 = 25\%
$$

$$
\frac{3}{4} = 0.75 = 75\%
$$

Always check your final value makes sense by estimating. For example, any percentage greater than \(100%\) represents a value greater than one whole, and any decimal less than \(1\) represents less than a whole.