# How do you simplify (5c+5d )/ (c²+cd)?

Oct 20, 2015

(5c+5d )/ (c²+cd) = color(green)(5/c

#### Explanation:

(5c+5d )/ (c²+cd)

5 is common to both the terms in the numerator, and c is common to both the terms in the denominator.

$= \frac{5 \cancel{\left(c + d\right)}}{c \cdot \cancel{\left(c + d\right)}}$

$= \frac{5}{c}$