2369=12n

Rewrite the equation as 12n=2369.

12n=2369

Cancel the common factor of 6 and 9.

Factor 3 out of 6.

12n=233(2)9

Cancel the common factors.

Factor 3 out of 9.

12n=233⋅23⋅3

Cancel the common factor.

12n=233⋅23⋅3

Rewrite the expression.

12n=2323

12n=2323

12n=2323

Reduce the expression by cancelling the common factors.

Reduce the expression 2323 by cancelling the common factors.

Cancel the common factor.

12n=2323

Rewrite the expression.

12n=11

12n=11

Divide 1 by 1.

12n=1

12n=1

12n=1

Multiply each term by n and simplify.

Multiply each term in 12n=1 by n.

12n⋅n=1⋅n

Cancel the common factor of n.

Cancel the common factor.

12n⋅n=1⋅n

Rewrite the expression.

12=1⋅n

12=1⋅n

Multiply n by 1.

12=n

12=n

Rewrite the equation as n=12.

n=12

n=12

Solve for n (2/3)/(6/9)=12/n