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2-2\times \frac{\frac{2\times 9}{10}}{3}
Express 2\times \frac{9}{10} as a single fraction.
2-2\times \frac{\frac{18}{10}}{3}
Multiply 2 and 9 to get 18.
2-2\times \frac{\frac{9}{5}}{3}
Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.
2-2\times \frac{9}{5\times 3}
Express \frac{\frac{9}{5}}{3} as a single fraction.
2-2\times \frac{9}{15}
Multiply 5 and 3 to get 15.
2-2\times \frac{3}{5}
Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.
2-\frac{2\times 3}{5}
Express 2\times \frac{3}{5} as a single fraction.
2-\frac{6}{5}
Multiply 2 and 3 to get 6.
\frac{10}{5}-\frac{6}{5}
Convert 2 to fraction \frac{10}{5}.
\frac{10-6}{5}
Since \frac{10}{5} and \frac{6}{5} have the same denominator, subtract them by subtracting their numerators.
\frac{4}{5}
Subtract 6 from 10 to get 4.