SOLUTION: Rewrite the rational expression as an equivalent rational expression with the given denominator. 5a+6 ------ = ------- 7a-49 7b(a-7)

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Question 1069805: Rewrite the rational expression as an equivalent rational expression with the given denominator.

5a+6
------ = -------
7a-49 7b(a-7)
Found 2 solutions by ankor@dixie-net.com, josgarithmetic:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite the rational expression as an equivalent rational expression with the given denominator.
%28%285a%2B6%29%29%2F%28%287a-49%29%29 = n%2F%28%287b%28a-7%29%29%29: find n
Factor the first denominator
%28%285a%2B6%29%29%2F%287%28a-7%29%29 = n%2F%28%287b%28a-7%29%29%29
Now we can write it
%28%285a%2B6%29%29%2F%287%28a-7%29%29 = %28b%285a%2B6%29%29%2F%28%287b%28a-7%29%29%29, b cancels and you have the identical fractions

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
(5a+6)/(7a-49)=N/(7b(a-7))

%285a%2B6%29%2F%287a-49%29=N%2F%287b%28a-7%29%29


Look at the two denominators.
Left has 7(a-7)
and
Right has 7b(a-7).

The common denominator for these two denominators would be 7b(a-7); so you can do this:

Start on just the Left member:
%28%285a%2B6%29%2F%287%28a-7%29%29%29%28b%2Fb%29