Equivalent fractions

Cutting the cake into six equal pieces and eating two is equivalent to cutting the cake into three equal pieces and eating one. You eat the same amount of cake in both cases.

Diagram showing 2/6 fraction of a circle, and 1/3 fraction of a circle
Question
Diagram showing 4/12 fraction of a circle, and 1/3 fraction of a circle

If the cake is cut into 12 equal pieces, how many will we have to eat in order to have the equivalent of \frac{1}{3} of the cake?

Did you get {4}?

\frac{4}{12} = \frac{2}{6} = \frac{1}{3}

\frac{4}{12}, \frac{2}{6} and \frac{1}{3} are all equivalent fractions.

\frac{1}{3} is equivalent to \frac{2}{6} because the top and bottom numbers have been multiplied by 2.

\frac{4}{12} is equivalent to \frac{1}{3} because the top and bottom numbers have been divided by 4.

curriculum-key-fact
When writing equivalent fractions, do the same multiplication or division to the top and bottom numbers. For example, if you multiply the top by 2, you must also multiply the bottom by 2.