# How do I compare different fractions?

## How can different fractions be the same?

If you cut a cake into **6** slices, each slice is **⅙** of the cake.

You can put these **6** slices into **3** groups of **2**. Each of these is **²/₆** of the cake. **⅙ + ⅙ = ²/₆**

There are **3** groups of **2** slices. The groups are the same size as if you had cut the cake into **3** slices.

So **²/₆ = ⅓**

If you add **1** more slice you will have **³/₆** of the cake.

**⅙ + ⅙ + ⅙ = ³/₆**

This is the same size as if you had cut the cake into **2** halves.

So **³/₆** is the same as **¹/₂**.

**³/₆ = ¹/₂**