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\frac{42+1}{6}-\frac{2\times 6+4}{6}
Multiply 7 and 6 to get 42.
\frac{43}{6}-\frac{2\times 6+4}{6}
Add 42 and 1 to get 43.
\frac{43}{6}-\frac{12+4}{6}
Multiply 2 and 6 to get 12.
\frac{43}{6}-\frac{16}{6}
Add 12 and 4 to get 16.
\frac{43-16}{6}
Since \frac{43}{6} and \frac{16}{6} have the same denominator, subtract them by subtracting their numerators.
\frac{27}{6}
Subtract 16 from 43 to get 27.
\frac{9}{2}
Reduce the fraction \frac{27}{6} to lowest terms by extracting and canceling out 3.