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\frac{65}{20}+\frac{76}{20}
Least common multiple of 4 and 5 is 20. Convert \frac{13}{4} and \frac{19}{5} to fractions with denominator 20.
\frac{65+76}{20}
Since \frac{65}{20} and \frac{76}{20} have the same denominator, add them by adding their numerators.
\frac{141}{20}
Add 65 and 76 to get 141.