23812=19n

Rewrite the equation as 19n=23812.

19n=23812

Cancel the common factor of 8 and 12.

Factor 4 out of 8.

19n=234(2)12

Cancel the common factors.

Factor 4 out of 12.

19n=234⋅24⋅3

Cancel the common factor.

19n=234⋅24⋅3

Rewrite the expression.

19n=2323

19n=2323

19n=2323

Reduce the expression by cancelling the common factors.

Reduce the expression 2323 by cancelling the common factors.

Cancel the common factor.

19n=2323

Rewrite the expression.

19n=11

19n=11

Divide 1 by 1.

19n=1

19n=1

19n=1

Multiply each term by n and simplify.

Multiply each term in 19n=1 by n.

19n⋅n=1⋅n

Cancel the common factor of n.

Cancel the common factor.

19n⋅n=1⋅n

Rewrite the expression.

19=1⋅n

19=1⋅n

Multiply n by 1.

19=n

19=n

Rewrite the equation as n=19.

n=19

n=19

Solve for n (2/3)/(8/12)=19/n