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4-\frac{8\times 2}{3}
Express \frac{8}{3}\times 2 as a single fraction.
4-\frac{16}{3}
Multiply 8 and 2 to get 16.
\frac{12}{3}-\frac{16}{3}
Convert 4 to fraction \frac{12}{3}.
\frac{12-16}{3}
Since \frac{12}{3} and \frac{16}{3} have the same denominator, subtract them by subtracting their numerators.
-\frac{4}{3}
Subtract 16 from 12 to get -4.