How do you simplify #\frac { 8y ^ { 2} } { 6x y ^ { 2} }#?

1 Answer
marfre
May 2, 2018

#4/(3x)#

Explanation:

Given: #(8y^2)/(6xy^2)#

Find the greatest common factor (GCF) from both the numerator and denominator:

#8y^2 = color(red)(2) * 2 * 2 * color(red)(y) * color(red)(y)#

#6xy^2 = color(red)(2) * 3 * x * color(red)(y) * color(red)(y)#

#GCF = 2 y^2#

#(8y^2)/(6xy^2) = (cancel(2 y^2)4)/(cancel(2y^2)(3x)) = 4/(3x)#

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