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\frac{8}{14}+\frac{21}{14}
Least common multiple of 7 and 2 is 14. Convert \frac{4}{7} and \frac{3}{2} to fractions with denominator 14.
\frac{8+21}{14}
Since \frac{8}{14} and \frac{21}{14} have the same denominator, add them by adding their numerators.
\frac{29}{14}
Add 8 and 21 to get 29.