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\frac{4+1}{4}+\frac{5}{8}
Multiply 1 and 4 to get 4.
\frac{5}{4}+\frac{5}{8}
Add 4 and 1 to get 5.
\frac{10}{8}+\frac{5}{8}
Least common multiple of 4 and 8 is 8. Convert \frac{5}{4} and \frac{5}{8} to fractions with denominator 8.
\frac{10+5}{8}
Since \frac{10}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.
\frac{15}{8}
Add 10 and 5 to get 15.