SOLUTION: a/a-b to be divided b/a-b how do you solve this with letters?

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Question 128674: a/a-b to be divided b/a-b
how do you solve this with letters?
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
.
%28a%2F%28a-b%29%29%2F%28b%2F%28a-b%29%29
.
Recall that when you divide by a fraction you can just invert the fraction and use it as
a multiplier. Therefore in this problem, since you are dividing by the fraction:
.
b%2F%28a-b%29
.
You can invert this fraction (that is flip it upside down) to get:
.
%28a-b%29%2Fb
.
and multiply this by the number you are dividing into. So you have converted the original
division problem to the following multiplication problem:
.
%28a%2F%28a-b%29%29%2A%28%28a-b%29%2Fb%29
.
Now you can see that you have the term a-b in both the numerator and the denominator.
Therefore, you can cancel out these common factors:
.
%28a%2F%28cross%28a-b%29%29%29%2A%28%28cross%28a-b%29%29%2Fb%29
.
and you finish the multiplication you are left with the answer to your problem:
.
a%2Fb
.
Hope this helps you to understand this problem.
.