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\frac{5\times 4}{2\times 5}-\frac{5}{6}\times \frac{4}{5}
Multiply \frac{5}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{4}{2}-\frac{5}{6}\times \frac{4}{5}
Cancel out 5 in both numerator and denominator.
2-\frac{5}{6}\times \frac{4}{5}
Divide 4 by 2 to get 2.
2-\frac{5\times 4}{6\times 5}
Multiply \frac{5}{6} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.
2-\frac{4}{6}
Cancel out 5 in both numerator and denominator.
2-\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{6}{3}-\frac{2}{3}
Convert 2 to fraction \frac{6}{3}.
\frac{6-2}{3}
Since \frac{6}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{4}{3}
Subtract 2 from 6 to get 4.