# Solve for n (1/30)/(1/5)=(1/15)/n

13015=115n
Rewrite the equation as 115n=13015.
115n=13015
Simplify 13015.
Multiply the numerator by the reciprocal of the denominator.
115n=130⋅5
Cancel the common factor of 5.
Factor 5 out of 30.
115n=15(6)⋅5
Cancel the common factor.
115n=15⋅6⋅5
Rewrite the expression.
115n=16
115n=16
115n=16
Simplify 115n.
Multiply the numerator by the reciprocal of the denominator.
115⋅1n=16
Multiply 115 and 1n.
115n=16
115n=16
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
1⋅6=15n⋅1
Solve the equation for n.
Rewrite the equation as 15n⋅1=1⋅6.
15n⋅1=1⋅6
Simplify.
Multiply 15 by 1.
15n=1⋅6
Multiply 6 by 1.
15n=6
15n=6
Divide each term by 15 and simplify.
Divide each term in 15n=6 by 15.
15n15=615
Cancel the common factor of 15.
Cancel the common factor.
15n15=615
Divide n by 1.
n=615
n=615
Cancel the common factor of 6 and 15.
Factor 3 out of 6.
n=3(2)15
Cancel the common factors.
Factor 3 out of 15.
n=3⋅23⋅5
Cancel the common factor.
n=3⋅23⋅5
Rewrite the expression.
n=25
n=25
n=25
n=25
n=25
The result can be shown in multiple forms.
Exact Form:
n=25
Decimal Form:
n=0.4
Solve for n (1/30)/(1/5)=(1/15)/n

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