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8-\frac{9}{10\times 3}
Express \frac{\frac{9}{10}}{3} as a single fraction.
8-\frac{9}{30}
Multiply 10 and 3 to get 30.
8-\frac{3}{10}
Reduce the fraction \frac{9}{30} to lowest terms by extracting and canceling out 3.
\frac{80}{10}-\frac{3}{10}
Convert 8 to fraction \frac{80}{10}.
\frac{80-3}{10}
Since \frac{80}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{77}{10}
Subtract 3 from 80 to get 77.