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\frac{7}{28}+\frac{32}{28}
Least common multiple of 4 and 7 is 28. Convert \frac{1}{4} and \frac{8}{7} to fractions with denominator 28.
\frac{7+32}{28}
Since \frac{7}{28} and \frac{32}{28} have the same denominator, add them by adding their numerators.
\frac{39}{28}
Add 7 and 32 to get 39.