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\frac{12}{25}x=\frac{15\times 3}{5}
Express 15\times \frac{3}{5} as a single fraction.
\frac{12}{25}x=\frac{45}{5}
Multiply 15 and 3 to get 45.
\frac{12}{25}x=9
Divide 45 by 5 to get 9.
x=9\times \frac{25}{12}
Multiply both sides by \frac{25}{12}, the reciprocal of \frac{12}{25}.
x=\frac{9\times 25}{12}
Express 9\times \frac{25}{12} as a single fraction.
x=\frac{225}{12}
Multiply 9 and 25 to get 225.
x=\frac{75}{4}
Reduce the fraction \frac{225}{12} to lowest terms by extracting and canceling out 3.