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\frac{10}{1000}+\frac{1}{1000}
Least common multiple of 100 and 1000 is 1000. Convert \frac{1}{100} and \frac{1}{1000} to fractions with denominator 1000.
\frac{10+1}{1000}
Since \frac{10}{1000} and \frac{1}{1000} have the same denominator, add them by adding their numerators.
\frac{11}{1000}
Add 10 and 1 to get 11.