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\frac{10}{\frac{10}{100}}
Add 5 and 5 to get 10.
\frac{10}{\frac{1}{10}}
Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.
10\times 10
Divide 10 by \frac{1}{10} by multiplying 10 by the reciprocal of \frac{1}{10}.
100
Multiply 10 and 10 to get 100.