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\frac{4}{20}+\frac{15}{20}
Least common multiple of 5 and 4 is 20. Convert \frac{1}{5} and \frac{3}{4} to fractions with denominator 20.
\frac{4+15}{20}
Since \frac{4}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.
\frac{19}{20}
Add 4 and 15 to get 19.