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 1069784: Rewrite the rational expression as an equivalent rational expression with the given denominator.
5a+6/7a-49=?/7b(a-7)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
you are starting with:

(5a + 6) / (7a - 49).

and you wind up with:

x / (7b(a - 7)

only thing i can think of is this.

start with (5a + 6) / (7a - 49).

multiply by b/b to get:

b * (5a + 6) / (b * (7a - 49)

factor out a 7 in the denominator to get:

b * (5a + 6) / (b * 7 * (a - 7).

this can also be shown as:

b * (5a + 6) / (7b * (a - 7))

basically, what you are doing is multiplying the fraction by b/b and then factoring to get the final form.

? is going to be equal to b * (5a + 6).