SOLUTION: How do I rewrite these two rational expressions with the given denominator?? 6b/14a^2=_____/56a^4b^3 and also this one 10d/5d-10=_____/ 25d-50

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Question 874311: How do I rewrite these two rational expressions with the given denominator??
6b/14a^2=_____/56a^4b^3
and also this one
10d/5d-10=_____/ 25d-50
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How do I rewrite these two rational expressions with the given denominator??
6b/14a^2=_____/56a^4b^3
:
6b%2F14a%5E2 = n%2F56a%5E4b%5E3
find n
to make the denominators equal, we have to multiply the 1st denominator by 4a^2b^3
any number over itself is one so we can:
4a%5E2b%5E3%2F4a%5E2b%5E3 * 6b%2F14a%5E2 = 24a%5E2b%5E4%2F56a%5E4b%5E3
Can be reduced but they don't say anything about that


and also this one
%2810d%29%2F%285d-10%29 = n%2F%2825d-50%29
Factoring makes it easy to see what we have to do
%2810d%29%2F%285%28d-2%29%29 = n%2F%2825%28d-2%29%29
Multiply by 5 to get the same denominator
5%2F5*%2810d%29%2F%285%28d-2%29%29 = %2850d%29%2F%2825%28d-2%29%29