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\frac{49}{28}+\frac{20}{28}
Least common multiple of 4 and 7 is 28. Convert \frac{7}{4} and \frac{5}{7} to fractions with denominator 28.
\frac{49+20}{28}
Since \frac{49}{28} and \frac{20}{28} have the same denominator, add them by adding their numerators.
\frac{69}{28}
Add 49 and 20 to get 69.