Question

please help! how can i simplify this fraction
5f+6-f+10
---------
(f-1)(f+8)

Answer 1

In the numerator add 5f + 1f Also add 6 + 10

Answer 2

What did you get?

Answer 3

4f+16

Answer 4

So now we have:
\[\frac{6f+16}{(f-1)(f+8)}\]

Answer 5

Now pull 2 out of 6f+16

Answer 6

Please note that 1f+5f=6f NOT 4f

Answer 7

What do you get when you pull the 2 out?

Answer 8

wait, but isnt it 5f-1f?

Answer 9

Oh my. you are right. I thought it said plus.

Answer 10

So now pull out 4 not 2

Answer 11

alright, so what does it mean by pull out?

Answer 12

\[\frac{4(f+4)}{(f-1)(f+8)}\]

Answer 13

It just means factor out the common factor.

Answer 14

And now we see that there are no common factors so the fraction cannot be reduced so it is in simple form.

Answer 15

oh right, okay. so can i simplify it any more?

Answer 16

alright! thanks so much!!

Answer 17

Not the way it is stated. But I think you should double check and make sure the 10 is +10 and not -10. It it were -10, it could reduce. Please check.

Answer 18

okay. yeah its +10

Answer 19

ok. Good. We're done. I guess all they wanted you to do was collect the like terms in the numerator.

Answer 20

yeah. thanks!

Answer 21

yw