SOLUTION: Rewrite the rational expression with the given denominator. -6t/7t-14 =?/35t-70

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Question 891747: Rewrite the rational expression with the given denominator.
-6t/7t-14 =?/35t-70
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
You most certainly really mean this:
(-6t)/(7t-14) =?/(35t-70)

This is just like any third-grader or fourth-grader fraction problem - but just with variables included.

What is the change from 7t-14 to 35t-70?
Try factoring to see if this helps.
7(t-2) versus 35(t-2) ----obviously 5 times greater, factor of 5 was used.

Now, wanted both of the fractions be equal, one is related to the other by a factor of 1, or 5%2F5 which is equal to 1.

Bring the left member to higher terms using factor 5%2F5.
%28%28-6t%29%2F%287t-14%29%29%285%2F5%29=%28-30t%29%2F%2835t-70%29