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\frac{1}{2}\times 3-\left(\frac{8}{7}-\frac{1}{7}\right)
Divide 9 by 3 to get 3.
\frac{3}{2}-\left(\frac{8}{7}-\frac{1}{7}\right)
Multiply \frac{1}{2} and 3 to get \frac{3}{2}.
\frac{3}{2}-\frac{8-1}{7}
Since \frac{8}{7} and \frac{1}{7} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{2}-\frac{7}{7}
Subtract 1 from 8 to get 7.
\frac{3}{2}-1
Divide 7 by 7 to get 1.
\frac{3}{2}-\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
\frac{3-2}{2}
Since \frac{3}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{2}
Subtract 2 from 3 to get 1.