# Equivalent fractions

**Equivalent fractions**

equivalent fractions are when two fractions are equal to each other but written using different numerators and denominators. This can be deduced by multiplying the numerator and denominator by the same amount.

The same can be done to simplify a fraction by dividing the nominator and denominator by the same amount, see below.

**Equivalent fractions spider diagram**

If a fraction’s numerator and denominator has no common factors, then it is **expressed in its lowest terms.**

The fractions below with a green tick are examples:

When fractions are are not shown in their lowest terms, they can be simplified by a process of **cancelling**.

In the process of cancelling remember the following points:

- The aim is to ensure that no number other than 1 which divides into both the numerator and denominator.
- If a faction is not at its lowest terms, look for a number which will divide into both the numerator and denominator.

**Mixed numbers and improper fractions**

An **improper** fraction is when the numerator of a fraction is larger than the denominator.

For example,

Improper fractions can also be written as **mixed numbers**.