SOLUTION: Could you please help me with this? I am somewhat stumped. Thanks so very much! 7x-49/121 divided by x-7/77x Divide and simplify. Thanks again!!

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Question 467432: Could you please help me with this? I am somewhat stumped. Thanks so very much!
7x-49/121 divided by x-7/77x Divide and simplify. Thanks again!!

Answer by algebrahouse.com(1659)   (Show Source): You can put this solution on YOUR website!
(7x - 49)/121 ÷ (x - 7)/77x
[7(x - 7)]/121 ÷ (x - 7)/77x {factored 7 out of 7x - 49}
[7(x - 7)]/121 • 77x/(x - 7) {when dividing with fractions, multiply by reciprocal}

7(x - 7)(77x)
------------- {multiplied horizontally through numerators and denominators}
121(x - 7)

7(7x)
----- {cancelled x - 7 on top and bottom also cancelled 77 with 121}
11

49x
---- {multiplied 7 by 7x on top}
11

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