# How do you simplify (5a+10b) /( 4a+8b)?

Feb 17, 2017

See the entire simplification process below:

#### Explanation:

First, factor the numerator and denominator:

$\frac{5 a + 10 b}{4 a + 8 b} \to \frac{5 \left(a + 2 b\right)}{4 \left(a + 2 b\right)}$

Now, we can cancel common terms:

$\frac{5 \textcolor{red}{\cancel{\textcolor{b l a c k}{\left(a + 2 b\right)}}}}{4 \textcolor{red}{\cancel{\textcolor{b l a c k}{\left(a + 2 b\right)}}}} = \frac{5}{4}$ When $4 a + 8 b \ne 0$