Divide ((15x)/(2b))÷((5x^4)/(4bx))

Math
15x2b÷5x44bx
To divide by a fraction, multiply by its reciprocal.
15x2b⋅4bx5x4
Cancel the common factor of 5x.
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Factor 5x out of 15x.
5x(3)2b⋅4bx5x4
Factor 5x out of 5×4.
5x(3)2b⋅4bx5x(x3)
Cancel the common factor.
5x⋅32b⋅4bx5x⋅x3
Rewrite the expression.
32b⋅4bxx3
32b⋅4bxx3
Cancel the common factor of 2b.
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Factor 2b out of 4bx.
32b⋅2b(2x)x3
Cancel the common factor.
32b⋅2b(2x)x3
Rewrite the expression.
32xx3
32xx3
Combine 3 and 2xx3.
3(2x)x3
Multiply 2 by 3.
6xx3
Cancel the common factor of x and x3.
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Factor x out of 6x.
x⋅6×3
Cancel the common factors.
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Factor x out of x3.
x⋅6x⋅x2
Cancel the common factor.
x⋅6x⋅x2
Rewrite the expression.
6×2
6×2
6×2
Divide ((15x)/(2b))÷((5x^4)/(4bx))

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