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\frac{35}{14}+\frac{20}{14}
Least common multiple of 2 and 7 is 14. Convert \frac{5}{2} and \frac{10}{7} to fractions with denominator 14.
\frac{35+20}{14}
Since \frac{35}{14} and \frac{20}{14} have the same denominator, add them by adding their numerators.
\frac{55}{14}
Add 35 and 20 to get 55.