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\frac{9}{20}+\frac{1}{10}
Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.
\frac{9}{20}+\frac{2}{20}
Least common multiple of 20 and 10 is 20. Convert \frac{9}{20} and \frac{1}{10} to fractions with denominator 20.
\frac{9+2}{20}
Since \frac{9}{20} and \frac{2}{20} have the same denominator, add them by adding their numerators.
\frac{11}{20}
Add 9 and 2 to get 11.