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\left(\frac{15}{7}-\frac{8\times 2}{49\times 7}\right)\times \frac{28}{3}
Multiply \frac{8}{49} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.
\left(\frac{15}{7}-\frac{16}{343}\right)\times \frac{28}{3}
Do the multiplications in the fraction \frac{8\times 2}{49\times 7}.
\left(\frac{735}{343}-\frac{16}{343}\right)\times \frac{28}{3}
Least common multiple of 7 and 343 is 343. Convert \frac{15}{7} and \frac{16}{343} to fractions with denominator 343.
\frac{735-16}{343}\times \frac{28}{3}
Since \frac{735}{343} and \frac{16}{343} have the same denominator, subtract them by subtracting their numerators.
\frac{719}{343}\times \frac{28}{3}
Subtract 16 from 735 to get 719.
\frac{719\times 28}{343\times 3}
Multiply \frac{719}{343} times \frac{28}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{20132}{1029}
Do the multiplications in the fraction \frac{719\times 28}{343\times 3}.
\frac{2876}{147}
Reduce the fraction \frac{20132}{1029} to lowest terms by extracting and canceling out 7.