# Solve for n 9/n=6/10

9n=610
Cancel the common factor of 6 and 10.
Factor 2 out of 6.
9n=2(3)10
Cancel the common factors.
Factor 2 out of 10.
9n=2⋅32⋅5
Cancel the common factor.
9n=2⋅32⋅5
Rewrite the expression.
9n=35
9n=35
9n=35
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.
9⋅5=n⋅3
Solve the equation for n.
Rewrite the equation as n⋅3=9⋅5.
n⋅3=9⋅5
Multiply 9 by 5.
n⋅3=45
Divide each term by 3 and simplify.
Divide each term in n⋅3=45 by 3.
n⋅33=453
Cancel the common factor of 3.
Cancel the common factor.
n⋅33=453
Divide n by 1.
n=453
n=453
Divide 45 by 3.
n=15
n=15
n=15
Solve for n 9/n=6/10

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