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\frac{8}{7}+\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{24}{21}+\frac{14}{21}
Least common multiple of 7 and 3 is 21. Convert \frac{8}{7} and \frac{2}{3} to fractions with denominator 21.
\frac{24+14}{21}
Since \frac{24}{21} and \frac{14}{21} have the same denominator, add them by adding their numerators.
\frac{38}{21}
Add 24 and 14 to get 38.