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\frac{28}{12}+\frac{69}{12}
Least common multiple of 3 and 4 is 12. Convert \frac{7}{3} and \frac{23}{4} to fractions with denominator 12.
\frac{28+69}{12}
Since \frac{28}{12} and \frac{69}{12} have the same denominator, add them by adding their numerators.
\frac{97}{12}
Add 28 and 69 to get 97.