Divide ((3p-3)/p)÷((5p-5)/(6p^2))

Math
3p-3p÷5p-56p2
To divide by a fraction, multiply by its reciprocal.
3p-3p⋅6p25p-5
Cancel the common factor of p.
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Factor p out of 6p2.
3p-3p⋅p(6p)5p-5
Cancel the common factor.
3p-3p⋅p(6p)5p-5
Rewrite the expression.
(3p-3)6p5p-5
(3p-3)6p5p-5
Factor 5 out of 5p-5.
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Factor 5 out of 5p.
(3p-3)6p5(p)-5
Factor 5 out of -5.
(3p-3)6p5(p)+5(-1)
Factor 5 out of 5(p)+5(-1).
(3p-3)6p5(p-1)
(3p-3)6p5(p-1)
Multiply 3p-3 and 6p5(p-1).
(3p-3)(6p)5(p-1)
Simplify the numerator.
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Factor 3 out of 3p-3.
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Factor 3 out of 3p.
(3(p)-3)⋅6p5(p-1)
Factor 3 out of -3.
(3(p)+3(-1))⋅6p5(p-1)
Factor 3 out of 3(p)+3(-1).
3(p-1)⋅6p5(p-1)
3(p-1)⋅6p5(p-1)
Multiply 6 by 3.
18(p-1)p5(p-1)
18(p-1)p5(p-1)
Cancel the common factor of p-1.
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Cancel the common factor.
18(p-1)p5(p-1)
Rewrite the expression.
18p5
18p5
Divide ((3p-3)/p)÷((5p-5)/(6p^2))

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