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4-\frac{4\times 2}{6}-5
Add 3 and 1 to get 4.
4-\frac{8}{6}-5
Multiply 4 and 2 to get 8.
4-\frac{4}{3}-5
Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.
\frac{12}{3}-\frac{4}{3}-5
Convert 4 to fraction \frac{12}{3}.
\frac{12-4}{3}-5
Since \frac{12}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{8}{3}-5
Subtract 4 from 12 to get 8.
\frac{8}{3}-\frac{15}{3}
Convert 5 to fraction \frac{15}{3}.
\frac{8-15}{3}
Since \frac{8}{3} and \frac{15}{3} have the same denominator, subtract them by subtracting their numerators.
-\frac{7}{3}
Subtract 15 from 8 to get -7.