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\frac{490}{1800}+\frac{981}{1800}
Least common multiple of 180 and 200 is 1800. Convert \frac{49}{180} and \frac{109}{200} to fractions with denominator 1800.
\frac{490+981}{1800}
Since \frac{490}{1800} and \frac{981}{1800} have the same denominator, add them by adding their numerators.
\frac{1471}{1800}
Add 490 and 981 to get 1471.