Combine r/25-(1/r)÷(3/25)-3/(5r)

Math
r25-1r÷325-35r
Simplify each term.
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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
Write each expression with a common denominator of 75r, by multiplying each by an appropriate factor of 1.
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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 into one fraction.
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Combine the numerators over the common denominator.
r(3r)-25⋅2575r-35r
Multiply -25 by 25.
r(3r)-62575r-35r
r(3r)-62575r-35r
Simplify the numerator.
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Rewrite using the commutative property of multiplication.
3r⋅r-62575r-35r
Multiply r by r by adding the exponents.
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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
Write each expression with a common denominator of 75r, by multiplying each by an appropriate factor of 1.
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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
Simplify the numerator.
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Multiply -3 by 15.
3r2-625-4575r
Subtract 45 from -625.
3r2-67075r
3r2-67075r
Combine r/25-(1/r)÷(3/25)-3/(5r)

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