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\frac{12}{28}+\frac{35}{28}
Least common multiple of 7 and 4 is 28. Convert \frac{3}{7} and \frac{5}{4} to fractions with denominator 28.
\frac{12+35}{28}
Since \frac{12}{28} and \frac{35}{28} have the same denominator, add them by adding their numerators.
\frac{47}{28}
Add 12 and 35 to get 47.