SOLUTION: Hi everyone, How do I divide 2x-6/21 divided by 5x-15/12??

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Question 86002: Hi everyone, How do I divide 2x-6/21 divided by 5x-15/12??
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282x-6%29%2F21%29%2F%28%285x-15%29%2F12%29
Whenever you are dividing 2 fractions, the trick is to change the divide into a multiply and take the reciprocal of the 2nd fraction:
%28%282x-6%29%2F21%29%2A%2812%2F%285x-15%29%29
Now, just multiply numerator times numerator and denominator times denominator:
%2824x-72%29%2F%28105x-315%29
Looks like if you can factor out a 3 from numerator and denominator:
3%288x-24%29%2F3%2835x-105%29
Cancel out the 3's and you are left with:
highlight%28%288x-24%29%2F%2835x-105%29%29
Good Luck,
tutor_paul@yahoo.com