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\frac{254}{14}+\frac{7}{14}
Least common multiple of 7 and 2 is 14. Convert \frac{127}{7} and \frac{1}{2} to fractions with denominator 14.
\frac{254+7}{14}
Since \frac{254}{14} and \frac{7}{14} have the same denominator, add them by adding their numerators.
\frac{261}{14}
Add 254 and 7 to get 261.