Factor (13n)/20-(2n)/5

Math
13n20-2n5
To write -2n5 as a fraction with a common denominator, multiply by 44.
13n20-2n5⋅44
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
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Multiply 2n5 and 44.
13n20-2n⋅45⋅4
Multiply 5 by 4.
13n20-2n⋅420
13n20-2n⋅420
Combine the numerators over the common denominator.
13n-2n⋅420
Rewrite 13n-2n⋅420 in a factored form.
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Factor n out of 13n-2n⋅4.
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Factor n out of 13n.
n⋅13-2n⋅420
Factor n out of -2n⋅4.
n⋅13+n(-2⋅4)20
Factor n out of n⋅13+n(-2⋅4).
n⋅(13-2⋅4)20
Multiply n by 13-2⋅4.
n(13-2⋅4)20
n(13-2⋅4)20
Multiply -2 by 4.
n(13-8)20
Subtract 8 from 13.
n⋅520
Reduce the expression n⋅520 by cancelling the common factors.
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Factor 5 out of n⋅5.
5⋅n20
Factor 5 out of 20.
5⋅n5⋅4
Cancel the common factor.
5⋅n5⋅4
Rewrite the expression.
n4
n4
n4
Factor (13n)/20-(2n)/5

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