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\frac{100}{11}+\frac{200}{605}
Reduce the fraction \frac{200}{22} to lowest terms by extracting and canceling out 2.
\frac{100}{11}+\frac{40}{121}
Reduce the fraction \frac{200}{605} to lowest terms by extracting and canceling out 5.
\frac{1100}{121}+\frac{40}{121}
Least common multiple of 11 and 121 is 121. Convert \frac{100}{11} and \frac{40}{121} to fractions with denominator 121.
\frac{1100+40}{121}
Since \frac{1100}{121} and \frac{40}{121} have the same denominator, add them by adding their numerators.
\frac{1140}{121}
Add 1100 and 40 to get 1140.