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\frac{2\times 3}{4}-5
Express 2\times \frac{3}{4} as a single fraction.
\frac{6}{4}-5
Multiply 2 and 3 to get 6.
\frac{3}{2}-5
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
\frac{3}{2}-\frac{10}{2}
Convert 5 to fraction \frac{10}{2}.
\frac{3-10}{2}
Since \frac{3}{2} and \frac{10}{2} have the same denominator, subtract them by subtracting their numerators.
-\frac{7}{2}
Subtract 10 from 3 to get -7.