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100+\frac{1}{10}
Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.
\frac{1000}{10}+\frac{1}{10}
Convert 100 to fraction \frac{1000}{10}.
\frac{1000+1}{10}
Since \frac{1000}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.
\frac{1001}{10}
Add 1000 and 1 to get 1001.