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\frac{84}{20}+\frac{65}{20}
Least common multiple of 5 and 4 is 20. Convert \frac{21}{5} and \frac{13}{4} to fractions with denominator 20.
\frac{84+65}{20}
Since \frac{84}{20} and \frac{65}{20} have the same denominator, add them by adding their numerators.
\frac{149}{20}
Add 84 and 65 to get 149.