# How do you simplify (5)/(3b+d) - (2)/(3b+d )?

Aug 20, 2016

$\frac{5}{3 b + d} - \frac{2}{3 b + d} = \frac{3}{3 b + d}$

#### Explanation:

Here we have common denominators. When we have common denominators for example in $\frac{a}{c} + \frac{b}{c}$ or $\frac{a}{c} - \frac{b}{c}$, we have to just add or subtract numerators according to sign between the fractions.

As such $\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}$ and $\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}$ and hence

$\frac{5}{3 b + d} - \frac{2}{3 b + d}$

= $\frac{5 - 2}{3 b + d}$

= $\frac{3}{3 b + d}$