SOLUTION: I am working on finals and just cannot seem to get the answer to this. I would appreciate any help you can give me. Thankyou Divide and simplify 11y-77/15 divided by y-7/9y

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am working on finals and just cannot seem to get the answer to this. I would appreciate any help you can give me. Thankyou Divide and simplify 11y-77/15 divided by y-7/9y      Log On


   



Question 464248: I am working on finals and just cannot seem to get the answer to this. I would appreciate any help you can give me. Thankyou
Divide and simplify
11y-77/15 divided by y-7/9y

Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
(11y - 77)/15 ÷ (y - 7)/9y
= (11y - 77)/15 * 9y/(y - 7) {when dividing with fractions, multiply by the reciprocal}
= [11(y - 7)]/15 * 9y/(y - 7) {factored 11 out of first numerator}

11(y - 7)(9y)
------------- {wrote as one fraction to see the cancellations}
15(y - 7)

33y
--- {cancelled y - 7 on top and bottom also cancelled 9 and 15}
5

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