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\frac{357}{14}+\frac{44}{14}
Least common multiple of 2 and 7 is 14. Convert \frac{51}{2} and \frac{22}{7} to fractions with denominator 14.
\frac{357+44}{14}
Since \frac{357}{14} and \frac{44}{14} have the same denominator, add them by adding their numerators.
\frac{401}{14}
Add 357 and 44 to get 401.