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6-\frac{2\times 7}{3}
Express 2\times \frac{7}{3} as a single fraction.
6-\frac{14}{3}
Multiply 2 and 7 to get 14.
\frac{18}{3}-\frac{14}{3}
Convert 6 to fraction \frac{18}{3}.
\frac{18-14}{3}
Since \frac{18}{3} and \frac{14}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{4}{3}
Subtract 14 from 18 to get 4.