12r+3r÷4r+1r3

To divide by a fraction, multiply by its reciprocal.

12r+3r⋅r34r+1

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(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.

3(4r+1)r24r+1

Divide 3r2 by 1.

3r2

3r2

Simplify ((12r+3)/r)÷((4r+1)/(r^3))