r25-1r÷325-35r

To divide by a fraction, multiply by its reciprocal.

r25-(1r⋅253)-35r

Multiply 1r and 253.

r25-25r⋅3-35r

Move 3 to the left of r.

r25-253r-35r

r25-253r-35r

To write r25 as a fraction with a common denominator, multiply by 3r3r.

r25⋅3r3r-253r-35r

To write -253r as a fraction with a common denominator, multiply by 2525.

r25⋅3r3r-253r⋅2525-35r

Multiply r25 and 3r3r.

r(3r)25(3r)-253r⋅2525-35r

Multiply 3 by 25.

r(3r)75r-253r⋅2525-35r

Multiply 253r and 2525.

r(3r)75r-25⋅253r⋅25-35r

Multiply 25 by 3.

r(3r)75r-25⋅2575r-35r

r(3r)75r-25⋅2575r-35r

Combine the numerators over the common denominator.

r(3r)-25⋅2575r-35r

Multiply -25 by 25.

r(3r)-62575r-35r

r(3r)-62575r-35r

Rewrite using the commutative property of multiplication.

3r⋅r-62575r-35r

Multiply r by r by adding the exponents.

Move r.

3(r⋅r)-62575r-35r

Multiply r by r.

3r2-62575r-35r

3r2-62575r-35r

3r2-62575r-35r

To write -35r as a fraction with a common denominator, multiply by 1515.

3r2-62575r-35r⋅1515

Multiply 35r and 1515.

3r2-62575r-3⋅155r⋅15

Multiply 15 by 5.

3r2-62575r-3⋅1575r

3r2-62575r-3⋅1575r

Combine the numerators over the common denominator.

3r2-625-3⋅1575r

Multiply -3 by 15.

3r2-625-4575r

Subtract 45 from -625.

3r2-67075r

3r2-67075r

Combine r/25-(1/r)÷(3/25)-3/(5r)