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\frac{3\times 5}{8}-\frac{1\times 8+1}{8}
Express 3\times \frac{5}{8} as a single fraction.
\frac{15}{8}-\frac{1\times 8+1}{8}
Multiply 3 and 5 to get 15.
\frac{15}{8}-\frac{8+1}{8}
Multiply 1 and 8 to get 8.
\frac{15}{8}-\frac{9}{8}
Add 8 and 1 to get 9.
\frac{15-9}{8}
Since \frac{15}{8} and \frac{9}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{6}{8}
Subtract 9 from 15 to get 6.
\frac{3}{4}
Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.