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\frac{90+1}{10}+\frac{1}{10}\times 7
Multiply 9 and 10 to get 90.
\frac{91}{10}+\frac{1}{10}\times 7
Add 90 and 1 to get 91.
\frac{91}{10}+\frac{7}{10}
Multiply \frac{1}{10} and 7 to get \frac{7}{10}.
\frac{91+7}{10}
Since \frac{91}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.
\frac{98}{10}
Add 91 and 7 to get 98.
\frac{49}{5}
Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.