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\frac{28}{21}+\frac{15}{21}
Least common multiple of 3 and 7 is 21. Convert \frac{4}{3} and \frac{5}{7} to fractions with denominator 21.
\frac{28+15}{21}
Since \frac{28}{21} and \frac{15}{21} have the same denominator, add them by adding their numerators.
\frac{43}{21}
Add 28 and 15 to get 43.