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

Math
23812=19n
Rewrite the equation as 19n=23812.
19n=23812
Factor each term.
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Cancel the common factor of 8 and 12.
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Factor 4 out of 8.
19n=234(2)12
Cancel the common factors.
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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.
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Reduce the expression 2323 by cancelling the common factors.
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Cancel the common factor.
19n=2323
Rewrite the expression.
19n=11
19n=11
Divide 1 by 1.
19n=1
19n=1
19n=1
Solve for n.
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Multiply each term by n and simplify.
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Multiply each term in 19n=1 by n.
19n⋅n=1⋅n
Cancel the common factor of n.
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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

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