# Fractions of a quantity

How do we find $$\frac{3}{5}\,of\,20$$

### Method 1

Find $$\frac{1}{5}\,of\,20$$, then multiply by $$3$$.

$\frac{1}{5}\,of\,20 = 20 \div 5 = 4$

We need $$\frac{3}{5}\,of\,20$$, so we multiply $$4$$ by $$3$$.

$\frac{3}{5}\,of\,20 = 4 \times 3 = 12$

### Method 2

Multiply $$\frac{3}{5}$$ by $$20$$.

$\frac{3}{5} \times 20 = \frac{3}{5} \times \frac{{20}}{1} = \frac{{60}}{5} = 12$

Now try this question.

Question

Use either method to find $$\frac{3}{7}\,of\,35$$.

The answer is $$15$$.

Using Method 1: $$\frac{1}{7}\,of\,35 = 5$$, and $$3 \times 5 = 15$$.