SOLUTION: Need help solving this problem in lowest terms: 4uz/3z÷8u/9z My try:8/9u Thanks

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Question 202585: Need help solving this problem in lowest terms:
4uz/3z÷8u/9z
My try:8/9u
Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%284uz%29%2F%283z%29%29%2F%28%288u%29%2F%289z%29%29 Start with the given expression.


%28%284uz%29%2F%283z%29%29%2A%28%289z%29%2F%288u%29%29 Multiply the first fraction by the reciprocal of the second fraction.


%28%284uz%29%2F%283z%29%29%2A%28%283%2A3z%29%2F%288u%29%29 Factor the second numerator


%28%284uz%29%2F%283z%29%29%2A%28%283%2A3z%29%2F%282%2A4u%29%29 Factor the second denominator


Highlight the common terms.


Cancel out the common terms.


z%2A%283%2F2%29 Simplify


%283z%29%2F2 Rearrange the terms.


So %28%284uz%29%2F%283z%29%29%2F%28%288u%29%2F%289z%29%29=%283z%29%2F2