Divide ((8x)/(15b))÷((2x)/(3b^4x^3))

Math
8x15b÷2x3b4x3
To divide by a fraction, multiply by its reciprocal.
8x15b⋅3b4x32x
Cancel the common factor of 2x.
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Factor 2x out of 8x.
2x(4)15b⋅3b4x32x
Cancel the common factor.
2x⋅415b⋅3b4x32x
Rewrite the expression.
415b(3b4x3)
415b(3b4x3)
Cancel the common factor of 3b.
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Factor 3b out of 15b.
43b(5)(3b4x3)
Factor 3b out of 3b4x3.
43b(5)(3b(b3x3))
Cancel the common factor.
43b⋅5(3b(b3x3))
Rewrite the expression.
45(b3x3)
45(b3x3)
Combine b3 and 45.
b3⋅45×3
Combine b3⋅45 and x3.
b3⋅4×35
Move 4 to the left of b3.
4b3x35
Divide ((8x)/(15b))÷((2x)/(3b^4x^3))

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