How do you combine #\frac { 2x + 9} { 9x - 2} + \frac { 5x } { 9x - 2}#?

1 Answer
Aug 13, 2017

See a solution process below:

Explanation:

Because both fractions are over a common denominator we can add the numerators over this common denominator:

#(2x + 9)/(9x - 2) + (5x)/(9x - 2) => (2x + 9 + 5x)/(9x - 2)#

we can now group and combine like terms in the numerator:

#(2x + 9 + 5x)/(9x - 2) => (2x + 5x + 9)/(9x - 2) =>#

#((2 + 5)x + 9)/(9x - 2) =>#

#(7x + 9)/(9x - 2)#