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\frac{1}{5}+\frac{2}{5}+\frac{3}{4}
Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.
\frac{1+2}{5}+\frac{3}{4}
Since \frac{1}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.
\frac{3}{5}+\frac{3}{4}
Add 1 and 2 to get 3.
\frac{12}{20}+\frac{15}{20}
Least common multiple of 5 and 4 is 20. Convert \frac{3}{5} and \frac{3}{4} to fractions with denominator 20.
\frac{12+15}{20}
Since \frac{12}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.
\frac{27}{20}
Add 12 and 15 to get 27.