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\frac{2}{8}+\frac{9}{8}
Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{9}{8} to fractions with denominator 8.
\frac{2+9}{8}
Since \frac{2}{8} and \frac{9}{8} have the same denominator, add them by adding their numerators.
\frac{11}{8}
Add 2 and 9 to get 11.