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\frac{279}{450}+\frac{350}{450}
Least common multiple of 50 and 9 is 450. Convert \frac{31}{50} and \frac{7}{9} to fractions with denominator 450.
\frac{279+350}{450}
Since \frac{279}{450} and \frac{350}{450} have the same denominator, add them by adding their numerators.
\frac{629}{450}
Add 279 and 350 to get 629.