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\frac{3}{2}\times 8\times \frac{1}{10}
Divide \frac{3}{2} by \frac{1}{8} by multiplying \frac{3}{2} by the reciprocal of \frac{1}{8}.
\frac{3\times 8}{2}\times \frac{1}{10}
Express \frac{3}{2}\times 8 as a single fraction.
\frac{24}{2}\times \frac{1}{10}
Multiply 3 and 8 to get 24.
12\times \frac{1}{10}
Divide 24 by 2 to get 12.
\frac{12}{10}
Multiply 12 and \frac{1}{10} to get \frac{12}{10}.
\frac{6}{5}
Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.