document.write( "Question 621363: Change to equivalent fractions having their LCD. (b-2)/a, 4b/(b+1) \n" ); document.write( "

Algebra.Com's Answer #390739 by KMST(5328) $\"\"$ $\"About$

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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.
\n" ); document.write( "(b-2)/a= $\"%28b-2%29%2Fa=%28b-2%29%28b%2B1%29%2Fa%2F%28b%2B1%29\"$
\n" ); document.write( "4b/(b+1)= $\"4b%2F%28b%2B1%29=4b%2Aa%2Fa%2F%28b%2B1%29=4ab%2Fa%2F%28b%2B1%29\"$
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\n" ); document.write( "NOTE:
\n" ); document.write( "Sometimes there are common factors in the denominators that are not obvious as the common $\"2a\"$ shared between
\n" ); document.write( " $\"%28b-2%29%2F4a=%28b-2%29%2F%282%2A%282a%29%29\"$ 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
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and
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