# How do you simplify (6m+6n) / 2?

Jul 31, 2016

$3 \left(m + n\right)$

#### Explanation:

Write as $\frac{6 m}{2} + \frac{6 n}{2}$

Giving:$\text{ } 3 m + 3 n$

But another way of writing this is $3 \left(m + n\right)$

which means; multiply everything inside the bracket by 3

Jul 31, 2016

$3 \left(m + n\right)$.

#### Explanation:

$\frac{6 m + 6 n}{2} = \frac{6 \left(m + n\right)}{2} = \frac{\left(3 \cdot 2\right) \left(m + n\right)}{2}$

$= \frac{\left(3 \cdot \cancel{2}\right) \left(m + n\right)}{\cancel{2}} = 3 \left(m + n\right)$.