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12\times \frac{5}{4}=k
Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.
\frac{12\times 5}{4}=k
Express 12\times \frac{5}{4} as a single fraction.
\frac{60}{4}=k
Multiply 12 and 5 to get 60.
15=k
Divide 60 by 4 to get 15.
k=15
Swap sides so that all variable terms are on the left hand side.