How do you simplify (3q+2)/(2q+1)+(q-5)/(2q+1)?

Feb 1, 2017

See the entire simplification process below:

Explanation:

Because both fractions have a common denominator we can add the numerators by rewriting this equation as:

$\frac{3 q + 2 + q - 5}{2 q + 1}$

Next, group and combine common terms in the numerator:

$\frac{3 q + q + 2 - 5}{2 q + 1} \to \frac{3 q + 1 q + 2 - 5}{2 q + 1} \to$

$\frac{\left(3 + 1\right) q - 3}{2 q + 1} \to$

$\frac{4 q - 3}{2 q + 1}$