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25\times \frac{8}{3}x=5
Divide 25 by \frac{3}{8} by multiplying 25 by the reciprocal of \frac{3}{8}.
\frac{25\times 8}{3}x=5
Express 25\times \frac{8}{3} as a single fraction.
\frac{200}{3}x=5
Multiply 25 and 8 to get 200.
x=5\times \frac{3}{200}
Multiply both sides by \frac{3}{200}, the reciprocal of \frac{200}{3}.
x=\frac{5\times 3}{200}
Express 5\times \frac{3}{200} as a single fraction.
x=\frac{15}{200}
Multiply 5 and 3 to get 15.
x=\frac{3}{40}
Reduce the fraction \frac{15}{200} to lowest terms by extracting and canceling out 5.