Question

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

Answer 1

See the entire simplification process below:

Explanation:

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

`(3q + 2 + q - 5)/(2q + 1)`

Next, group and combine common terms in the numerator:

`(3q + q + 2 - 5)/(2q + 1) -> (3q + 1q + 2 - 5)/(2q + 1) ->`

`((3 + 1)q - 3)/(2q + 1) ->`

`(4q - 3)/(2q + 1)`