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2-\frac{3\times 4}{5}\times \frac{7}{6}
Express 3\times \frac{4}{5} as a single fraction.
2-\frac{12}{5}\times \frac{7}{6}
Multiply 3 and 4 to get 12.
2-\frac{12\times 7}{5\times 6}
Multiply \frac{12}{5} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.
2-\frac{84}{30}
Do the multiplications in the fraction \frac{12\times 7}{5\times 6}.
2-\frac{14}{5}
Reduce the fraction \frac{84}{30} to lowest terms by extracting and canceling out 6.
\frac{10}{5}-\frac{14}{5}
Convert 2 to fraction \frac{10}{5}.
\frac{10-14}{5}
Since \frac{10}{5} and \frac{14}{5} have the same denominator, subtract them by subtracting their numerators.
-\frac{4}{5}
Subtract 14 from 10 to get -4.