What is the lowest common denominator of #3/(x^3y)# and #7/(xy^4)#?

1 Answer
vanessa
Feb 3, 2018

#x^3y^4#

Explanation:

To find the lowest common denominator, you have to find the least common multiple of both denominators. #3/(x^3y)# has the denominator #x^3y#, and #7/(xy^4)# has #xy^4#. First, think of #x#. you need to have #x^3# as the #x# part because #x# goes into it #x^2# times, and #x^3# goes into it once. Do this again for the #y# part: you need #y^4# because #y^4# goes in once and #y# goes in #y^3# times. Now combine your #x# and #y# parts. You end up with #x^3y^4#.

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