SOLUTION: Help rewrite rational expression with given denominator. 6b/14a^2 = ____/56a^4b^3

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Question 871611: Help rewrite rational expression with given denominator.
6b/14a^2 = ____/56a^4b^3
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
6b%2F%2814a%5E2%29%22%22=%22%22%22______%22%2F%2856a%5E4b%5E3%29

Put an red%28X%29 where the blank is, and solve for red%28X%29:

6b%2F%2814a%5E2%29%22%22=%22%22red%28X%29%2F%2856a%5E4b%5E3%29

Cross-multiply:

6b%2856a%5E4b%5E3%29%22%22=%22%22%2814a%5E2%29red%28X%29

336a%5E4b%5E4%22%22=%22%2214a%5E2red%28X%29

Divide both sides by 14

24a%5E4b%5E4%22%22=%22%22a%5E2red%28X%29

Divide both sides by a2

24a%5E2b%5E4%22%22=%22%22red%28X%29

So

6b%2F%2814a%5E2%29%22%22=%22%22red%28X%29%2F%2856a%5E4b%5E3%29

becomes the answer:

6b%2F%2814a%5E2%29%22%22=%22%22red%2824a%5E2b%5E4%29%2F%2856a%5E4b%5E3%29

Edwin