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