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\frac{22}{12}+\frac{3}{12}
Least common multiple of 6 and 4 is 12. Convert \frac{11}{6} and \frac{1}{4} to fractions with denominator 12.
\frac{22+3}{12}
Since \frac{22}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.
\frac{25}{12}
Add 22 and 3 to get 25.