How do I compare different fractions?

Snoot prepares lunch for Fin and Plimble, comparing fractions of squashsplod pie.

How can different fractions be the same?

If you cut a cake into 6 slices, each slice is 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

One third of a cake is shown to be the same as two sixths.

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

One half of a cake is shown to be the same as three sixths.
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