# Equivalent fractions and thirds, sixths and twelfths

## Equivalent fractions

**Equivalent fractions** are fractions which equal the same amount as another fraction, even though they may look different. The **numerator** of a fraction is the number at the top of the fraction. The **denominator** is the number in the bottom half of the fraction.

Equivalent fractions may appear to be different, but they are, in fact, equal.

Example:

, and look to be different but they refer to the same quantity of a whole.

There are an unlimited number of equivalent fractions which can be created for any given fraction.

## Visual representation of equivalent fractions

*See animation*

## Thirds, sixths and twelfths on a number line

The equivalence of thirds, sixths and twelfths can be shown on number lines.