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\frac{2\times 2}{3}-\frac{5}{6}
Express \frac{2}{3}\times 2 as a single fraction.
\frac{4}{3}-\frac{5}{6}
Multiply 2 and 2 to get 4.
\frac{8}{6}-\frac{5}{6}
Least common multiple of 3 and 6 is 6. Convert \frac{4}{3} and \frac{5}{6} to fractions with denominator 6.
\frac{8-5}{6}
Since \frac{8}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{6}
Subtract 5 from 8 to get 3.
\frac{1}{2}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.