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

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Answer 1 · 2017-02-01T11:44:38

See the entire simplification process below:

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:

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

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

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

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