SOLUTION: Perform the indicated operations and simplify. Leave answers as fractions, a/b, in simplified form

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Question 80144: Perform the indicated operations and simplify.
Leave answers as fractions, a/b, in simplified form

Answer by sofiyacherni(99) About Me  (Show Source):
You can put this solution on YOUR website!
%285t%5E2%2F8%29%2F%2815t%5E2%2F12%29 this is the same as
%285t%5E2%2F8%29%2812%2F%2815t%5E2%29%29, so you got rid of the division and replaced it with multiplication by flipping denominator with numerator (bottom and top of a fraction)
now you have to siplify
you can cancel out t%5E2
you can cancel out 5 on top with 15 on bottom, except now instead of 15 you will have a 3, since five goes in 15 three times ie 3%2A5=15
you can cancel out a 4 out of top and bottom also since 8 is divisible by 4 and so is 12, now you will have 3 instead of 12 and 2 instead of 8.
%281%2F2%29%283%2F3%29 so now you can get rid of a 3 on top and 3 on bottom and that number becomes a 1. Anything times 1 stays the same, so your answer is
1%2F2%29
good luck
PS If you live in Rapid City, South Dakota area please contact me for lessons.