Question

(5)/(2x+8)+(7)/(3x+12) Please Explain Steps!

Answer 1

\[\frac{ 5 }{ 2x+8 }+\frac{ 7 }{ 3x+12 }\]
Can you factor the denominators?

Answer 2

Yes, by factoring out their respective GCF's.

Answer 3

2(x+4) and 3(x+4)

Answer 4

ok so then you need a common denominator by finding the lcm of 2(x +4) and 3(x + 4)

Answer 5

6(x+4)?

Answer 6

right. so then you would multiply the first fraction by 3/3 and the second by 2/2 to get the common denominator

Answer 7

Oh! That makes sense. It was the numerators that I was confused about.

Answer 8

Leaving us with 29/6(x+4)?

Answer 9

exactly

Answer 10

Thank you so much for your explanation!

Answer 11

you're welcome