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A=\frac{8}{3}-\frac{5}{3}\times \frac{7}{5}
Reduce the fraction \frac{21}{15} to lowest terms by extracting and canceling out 3.
A=\frac{8}{3}-\frac{5\times 7}{3\times 5}
Multiply \frac{5}{3} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.
A=\frac{8}{3}-\frac{7}{3}
Cancel out 5 in both numerator and denominator.
A=\frac{8-7}{3}
Since \frac{8}{3} and \frac{7}{3} have the same denominator, subtract them by subtracting their numerators.
A=\frac{1}{3}
Subtract 7 from 8 to get 1.