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100\left(1+\frac{1}{10}\right)
Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.
100\left(\frac{10}{10}+\frac{1}{10}\right)
Convert 1 to fraction \frac{10}{10}.
100\times \frac{10+1}{10}
Since \frac{10}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.
100\times \frac{11}{10}
Add 10 and 1 to get 11.
\frac{100\times 11}{10}
Express 100\times \frac{11}{10} as a single fraction.
\frac{1100}{10}
Multiply 100 and 11 to get 1100.
110
Divide 1100 by 10 to get 110.