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\frac{5}{20}+\frac{6}{20}
Least common multiple of 4 and 10 is 20. Convert \frac{1}{4} and \frac{3}{10} to fractions with denominator 20.
\frac{5+6}{20}
Since \frac{5}{20} and \frac{6}{20} have the same denominator, add them by adding their numerators.
\frac{11}{20}
Add 5 and 6 to get 11.