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\frac{9}{12}+\frac{10}{12}
Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.
\frac{9+10}{12}
Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.
\frac{19}{12}
Add 9 and 10 to get 19.