Simplify ((12r+3)/r)÷((4r+1)/(r^3))

Math
12r+3r÷4r+1r3
To divide by a fraction, multiply by its reciprocal.
12r+3r⋅r34r+1
Cancel the common factor of r.
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Factor r out of r3.
12r+3r⋅r⋅r24r+1
Cancel the common factor.
12r+3r⋅r⋅r24r+1
Rewrite the expression.
(12r+3)r24r+1
(12r+3)r24r+1
Multiply 12r+3 and r24r+1.
(12r+3)r24r+1
Factor 3 out of 12r+3.
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Factor 3 out of 12r.
(3(4r)+3)r24r+1
Factor 3 out of 3.
(3(4r)+3(1))r24r+1
Factor 3 out of 3(4r)+3(1).
3(4r+1)r24r+1
3(4r+1)r24r+1
Cancel the common factor of 4r+1.
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Cancel the common factor.
3(4r+1)r24r+1
Divide 3r2 by 1.
3r2
3r2
Simplify ((12r+3)/r)÷((4r+1)/(r^3))

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