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\frac{24}{98}+\frac{35}{98}
Least common multiple of 49 and 14 is 98. Convert \frac{12}{49} and \frac{5}{14} to fractions with denominator 98.
\frac{24+35}{98}
Since \frac{24}{98} and \frac{35}{98} have the same denominator, add them by adding their numerators.
\frac{59}{98}
Add 24 and 35 to get 59.