Simplify ((15z^5)/(24y^8))÷((4z^2)/(8y^4))

Math
15z524y8÷4z28y4
To divide by a fraction, multiply by its reciprocal.
15z524y8⋅8y44z2
Cancel the common factor of z2.
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Factor z2 out of 15z5.
z2(15z3)24y8⋅8y44z2
Factor z2 out of 4z2.
z2(15z3)24y8⋅8y4z2⋅4
Cancel the common factor.
z2(15z3)24y8⋅8y4z2⋅4
Rewrite the expression.
15z324y8⋅8y44
15z324y8⋅8y44
Cancel the common factor of 8y4.
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Factor 8y4 out of 24y8.
15z38y4(3y4)⋅8y44
Cancel the common factor.
15z38y4(3y4)⋅8y44
Rewrite the expression.
15z33y4⋅14
15z33y4⋅14
Multiply 15z33y4 and 14.
15z33y4⋅4
Multiply 4 by 3.
15z312y4
Cancel the common factor of 15 and 12.
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Factor 3 out of 15z3.
3(5z3)12y4
Cancel the common factors.
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Factor 3 out of 12y4.
3(5z3)3(4y4)
Cancel the common factor.
3(5z3)3(4y4)
Rewrite the expression.
5z34y4
5z34y4
5z34y4
Simplify ((15z^5)/(24y^8))÷((4z^2)/(8y^4))

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