Simplify ((12x^3y)/(13ab^2))÷((36xy^3)/(26b))

Math
12x3y13ab2÷36xy326b
To divide by a fraction, multiply by its reciprocal.
12x3y13ab2⋅26b36xy3
Cancel the common factor of 12xy.
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Factor 12xy out of 12x3y.
12xy(x2)13ab2⋅26b36xy3
Factor 12xy out of 36xy3.
12xy(x2)13ab2⋅26b12xy(3y2)
Cancel the common factor.
12xyx213ab2⋅26b12xy(3y2)
Rewrite the expression.
x213ab2⋅26b3y2
x213ab2⋅26b3y2
Cancel the common factor of 13b.
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Factor 13b out of 13ab2.
x213b(ab)⋅26b3y2
Factor 13b out of 26b.
x213b(ab)⋅13b(2)3y2
Cancel the common factor.
x213b(ab)⋅13b⋅23y2
Rewrite the expression.
x2ab⋅23y2
x2ab⋅23y2
Multiply x2ab and 23y2.
x2⋅2ab(3y2)
Reorder.
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Move 2 to the left of x2.
2⋅x2ab⋅3y2
Move 3 to the left of ab.
2x23aby2
2x23aby2
Simplify ((12x^3y)/(13ab^2))÷((36xy^3)/(26b))

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