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\frac{21}{28}+\frac{20}{28}
Least common multiple of 4 and 7 is 28. Convert \frac{3}{4} and \frac{5}{7} to fractions with denominator 28.
\frac{21+20}{28}
Since \frac{21}{28} and \frac{20}{28} have the same denominator, add them by adding their numerators.
\frac{41}{28}
Add 21 and 20 to get 41.