Quandaries
and Queries 

Name: Ashley Who is asking: Student Question: 

Hi Ashley, You haven't told me what the question is so I will have to guess. I expect the question is to add the two fractions or write the sum with a common denominator. The denominators are x^{ 2} = x x and x y. To construct a common denominator you need x x for the first fraction and x y for the second. The most economical way to do this is to use the denominator x x y = x^{ 2}y To change the denominator of the first fraction to x^{ 2}y
you need to multiply it by y. Thus you need to also multiply the numerator
by y. Hence To change the denominator of the second fraction to
x^{ 2}y you need to multiply it by x. Thus you need
to also multiply the numerator by x. Hence Finally 

