SOLUTION: ((5x)/(48y^2)) + ((7y)/(18x^2y)) Must use least common denominator in order to solve it

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Question 1008515: ((5x)/(48y^2)) + ((7y)/(18x^2y))
Must use least common denominator in order to solve it
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%285x%2F%2848y%5E2%29%29+%2B+%287y%2F%2818x%5E2y%29%29
%285x%2F%2848y%5E2%29%29+%2B+%287cross%28y%29%2F%2818x%5E2cross%28y%29%29%29
%285x%2F%2848y%5E2%29%29+%2B+%287%2F%2818x%5E2%29%29
%285x%2F%2848y%5E2%29%29+%2B+%287%2F%2818x%5E2%29%29..........least common denominator is 144x%5E2y%5E2
%28%285x%2A3x%5E2%29%2F144x%5E2y%5E2%29+%2B+%28%287y%2A8y%5E2%29%2F%28144x%5E2y%5E2%29%29

%285x%2A3x%5E2+%2B+7y%2A8y%5E2%29%2F%28144x%5E2y%5E2%29%29

%2815x%5E3+%2B+56y%5E3%29%2F%28144x%5E2y%5E2%29%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
((5x)/(48y^2)) + ((7y)/(18x^2y))
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Prime-factor each denominator::
48y^2 = 3*(2^4)*y^2
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18x^2y = 3^2*2*x^2*y
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lcd = 3^2*2^4x^2y^2 = 9*16x^2y^2 = 144x^2y^2
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Rewrite each fraction with the lcd as it divisor::
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[3x^2*5x + 2^3*y*7y]/[144x^2*y^2]
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= [15x^3 + 56y^2]/[144x^2y^2]
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Cheers,
Stan H.
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