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\frac{8}{36}+\frac{9}{36}
Least common multiple of 9 and 4 is 36. Convert \frac{2}{9} and \frac{1}{4} to fractions with denominator 36.
\frac{8+9}{36}
Since \frac{8}{36} and \frac{9}{36} have the same denominator, add them by adding their numerators.
\frac{17}{36}
Add 8 and 9 to get 17.