SOLUTION: (99/100) * (80/81) * (63/64) * (48/49) * (35/36) * (24/25) * (15/16) * (8/9) * (3/4) Write your answer in the form a/b , where a and b are positive integers with no common factor

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Question 1116213: (99/100) * (80/81) * (63/64) * (48/49) * (35/36) * (24/25) * (15/16) * (8/9) * (3/4)
Write your answer in the form a/b , where a and b are positive integers with no common factors other than 1.
I saw this on a test and got it wrong. May I please know how to work it out and what the correct answer is?
Thank you (* is a multiplication symbol)

Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
You are multiplying, so you don't need a common factor:
(99/100)*(80/81)*(63/64)*(48/49)*(35/36)*(24/25)*(15/16)*(8/9)*(3/4)
= (99*80*63*48*35*24*15*8*3)/(100*81*64*49*36*25*16*9*4) = 11/20

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