SOLUTION: Change to equivalent fractions having their LCD. (b-2)/a, 4b/(b+1)

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Question 621363: Change to equivalent fractions having their LCD. (b-2)/a, 4b/(b+1)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Since the denominators have no known common factors, the best you can do is use the product of the denominators as your least (known) common denominator.
(b-2)/a=%28b-2%29%2Fa=%28b-2%29%28b%2B1%29%2Fa%2F%28b%2B1%29
4b/(b+1)=4b%2F%28b%2B1%29=4b%2Aa%2Fa%2F%28b%2B1%29=4ab%2Fa%2F%28b%2B1%29

NOTE:
Sometimes there are common factors in the denominators that are not obvious as the common 2a shared between
%28b-2%29%2F4a=%28b-2%29%2F%282%2A%282a%29%29 and %28a%2B1%29%2F%284ab%2B2a%29=%28a%2B1%29%2F%28%282a%29%2A%282b%2B1%29%29 and in that case, you do not need to include the common factor that many times. For that example the best equivalent fractions would be
and