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\frac{153}{6}+\frac{4}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{51}{2} and \frac{2}{3} to fractions with denominator 6.
\frac{153+4}{6}
Since \frac{153}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.
\frac{157}{6}
Add 153 and 4 to get 157.