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8x=\frac{6}{25}\times 5
Divide \frac{6}{25} by \frac{1}{5} by multiplying \frac{6}{25} by the reciprocal of \frac{1}{5}.
8x=\frac{6\times 5}{25}
Express \frac{6}{25}\times 5 as a single fraction.
8x=\frac{30}{25}
Multiply 6 and 5 to get 30.
8x=\frac{6}{5}
Reduce the fraction \frac{30}{25} to lowest terms by extracting and canceling out 5.
x=\frac{\frac{6}{5}}{8}
Divide both sides by 8.
x=\frac{6}{5\times 8}
Express \frac{\frac{6}{5}}{8} as a single fraction.
x=\frac{6}{40}
Multiply 5 and 8 to get 40.
x=\frac{3}{20}
Reduce the fraction \frac{6}{40} to lowest terms by extracting and canceling out 2.