# How do you simplify the fraction 6/27?

Dec 9, 2016

$\frac{2}{9}$

#### Explanation:

It is much faster to solve this problem type if you know your number bonds.

Known that $3 \times 9 = 27 \text{ and that } 2 \times 3 = 6$

So the common on factor is 3

$\frac{6}{27} \equiv \frac{6 \div 3}{27 \div 3} = \frac{2}{9}$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Note that the sign $\equiv$ means 'equivalent to'

So $\frac{2}{9}$ is an equivalent fraction to $\frac{6}{27}$