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\frac{15}{20}+\frac{8}{20}
Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{2}{5} to fractions with denominator 20.
\frac{15+8}{20}
Since \frac{15}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.
\frac{23}{20}
Add 15 and 8 to get 23.