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