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\frac{15}{8}+\frac{14}{8}
Least common multiple of 8 and 4 is 8. Convert \frac{15}{8} and \frac{7}{4} to fractions with denominator 8.
\frac{15+14}{8}
Since \frac{15}{8} and \frac{14}{8} have the same denominator, add them by adding their numerators.
\frac{29}{8}
Add 15 and 14 to get 29.