9n=610

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

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