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\frac{1}{4}+\frac{8+7}{8}
Multiply 1 and 8 to get 8.
\frac{1}{4}+\frac{15}{8}
Add 8 and 7 to get 15.
\frac{2}{8}+\frac{15}{8}
Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{15}{8} to fractions with denominator 8.
\frac{2+15}{8}
Since \frac{2}{8} and \frac{15}{8} have the same denominator, add them by adding their numerators.
\frac{17}{8}
Add 2 and 15 to get 17.