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\frac{10+7}{10}-\frac{1\times 2+1}{2}
Multiply 1 and 10 to get 10.
\frac{17}{10}-\frac{1\times 2+1}{2}
Add 10 and 7 to get 17.
\frac{17}{10}-\frac{2+1}{2}
Multiply 1 and 2 to get 2.
\frac{17}{10}-\frac{3}{2}
Add 2 and 1 to get 3.
\frac{17}{10}-\frac{15}{10}
Least common multiple of 10 and 2 is 10. Convert \frac{17}{10} and \frac{3}{2} to fractions with denominator 10.
\frac{17-15}{10}
Since \frac{17}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{2}{10}
Subtract 15 from 17 to get 2.
\frac{1}{5}
Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.