So far, we've learned that a fraction is part of a whole. In A Part of Something, we learned that the denominator (bottom number) of a fraction tells us how many parts an amount is divided into. For example, $\frac{1}{2}$12 means the amount is divided into $2$2 equal groups, $\frac{1}{4}$14 means the amount is divided into $4$4 equal groups and so on.

For example, if I wanted to find $\frac{1}{5}$15 of $20$20, I could say $20\div5=4$20÷5=4. This means $\frac{1}{5}\times20=4$15×20=4.

But what if I need to know what more than one part is worth? Let's start by watching a video.

In summary

You can find a fraction of an amount by

Dividing the total quantity by the denominator, then multiplying the answer by the numerator, OR

Multiplying the total quantity by the numerator, then dividing the answer by the denominator.

Worked Examples

Question 1

Evaluate $25\times\frac{2}{5}$25×25.

Question 2

In a survey, $\frac{2}{11}$211 of people said Saturday was their favourite day. If $66$66 people were surveyed, how many people picked Saturday?