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\frac{5}{20}+\frac{4}{20}+\frac{1}{2}
Least common multiple of 4 and 5 is 20. Convert \frac{1}{4} and \frac{1}{5} to fractions with denominator 20.
\frac{5+4}{20}+\frac{1}{2}
Since \frac{5}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.
\frac{9}{20}+\frac{1}{2}
Add 5 and 4 to get 9.
\frac{9}{20}+\frac{10}{20}
Least common multiple of 20 and 2 is 20. Convert \frac{9}{20} and \frac{1}{2} to fractions with denominator 20.
\frac{9+10}{20}
Since \frac{9}{20} and \frac{10}{20} have the same denominator, add them by adding their numerators.
\frac{19}{20}
Add 9 and 10 to get 19.