SOLUTION: simplify each complex fraction 2x/27 ____ 4/9

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Question 283786: simplify each complex fraction
2x/27
____
4/9
Answer by JenniferTutors(83) About Me  (Show Source):
You can put this solution on YOUR website!
For this problem:
2x/27 divided by 4/9
You cannot divide the two, you have to multiply the reciprocal (flip) of the 2nd fraction:
%282x%2F27%29%289%2F4%29
You can either simplify the equations or multiply across and simplify after:
I decided to multiply across:
(2x)(9) = 18x
(27)(4) = 108
18x%2F108
Now, 18 can go into itself once and 108 six times:
(18x)/18 = 1x or x
(108)/18 = 6
x%2F6