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\frac{5}{9}+\frac{1}{4}
Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.
\frac{20}{36}+\frac{9}{36}
Least common multiple of 9 and 4 is 36. Convert \frac{5}{9} and \frac{1}{4} to fractions with denominator 36.
\frac{20+9}{36}
Since \frac{20}{36} and \frac{9}{36} have the same denominator, add them by adding their numerators.
\frac{29}{36}
Add 20 and 9 to get 29.