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\frac{4\times 2}{3}+1
Express 4\times \frac{2}{3} as a single fraction.
\frac{8}{3}+1
Multiply 4 and 2 to get 8.
\frac{8}{3}+\frac{3}{3}
Convert 1 to fraction \frac{3}{3}.
\frac{8+3}{3}
Since \frac{8}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.
\frac{11}{3}
Add 8 and 3 to get 11.