# Solve for n (15/(12/(3/7)))=n/(4/5)

(151237)=n45
Rewrite the equation as n45=151237.
n45=151237
Multiply both sides of the equation by 45.
45⋅n45=45⋅151237
Simplify both sides of the equation.
Simplify 45⋅n45.
Multiply the numerator by the reciprocal of the denominator.
45⋅(n54)=45⋅151237
Combine n and 54.
45⋅n⋅54=45⋅151237
Cancel the common factor of 4.
Cancel the common factor.
45⋅n⋅54=45⋅151237
Rewrite the expression.
15⋅(n⋅5)=45⋅151237
15⋅(n⋅5)=45⋅151237
Cancel the common factor of 5.
Factor 5 out of n⋅5.
15⋅(5⋅n)=45⋅151237
Cancel the common factor.
15⋅(5⋅n)=45⋅151237
Rewrite the expression.
n=45⋅151237
n=45⋅151237
n=45⋅151237
Simplify 45⋅151237.
Simplify the denominator.
Multiply the numerator by the reciprocal of the denominator.
n=45⋅1512(73)
Cancel the common factor of 3.
Factor 3 out of 12.
n=45⋅153(4)73
Cancel the common factor.
n=45⋅153⋅473
Rewrite the expression.
n=45⋅154⋅7
n=45⋅154⋅7
Multiply 4 by 7.
n=45⋅1528
n=45⋅1528
Reduce the expression by cancelling the common factors.
Cancel the common factor of 4.
Factor 4 out of 28.
n=45⋅154(7)
Cancel the common factor.
n=45⋅154⋅7
Rewrite the expression.
n=15⋅157
n=15⋅157
Cancel the common factor of 5.
Factor 5 out of 15.
n=15⋅5(3)7
Cancel the common factor.
n=15⋅5⋅37
Rewrite the expression.
n=37
n=37
n=37
n=37
n=37
The result can be shown in multiple forms.
Exact Form:
n=37
Decimal Form:
n=0.428571‾
Solve for n (15/(12/(3/7)))=n/(4/5)

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