Simplify ((2c)/(3b))÷((4c^3)/(9bc))

Math
2c3b÷4c39bc
To divide by a fraction, multiply by its reciprocal.
2c3b⋅9bc4c3
Cancel the common factor of 2c.
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Factor 2c out of 4c3.
2c3b⋅9bc2c(2c2)
Cancel the common factor.
2c3b⋅9bc2c(2c2)
Rewrite the expression.
13b⋅9bc2c2
13b⋅9bc2c2
Cancel the common factor of 3b.
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Factor 3b out of 9bc.
13b⋅3b(3c)2c2
Cancel the common factor.
13b⋅3b(3c)2c2
Rewrite the expression.
3c2c2
3c2c2
Cancel the common factor of c and c2.
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Factor c out of 3c.
c⋅32c2
Cancel the common factors.
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Factor c out of 2c2.
c⋅3c(2c)
Cancel the common factor.
c⋅3c(2c)
Rewrite the expression.
32c
32c
32c
Simplify ((2c)/(3b))÷((4c^3)/(9bc))

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