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\frac{1}{30}+\frac{24}{30}
Least common multiple of 30 and 5 is 30. Convert \frac{1}{30} and \frac{4}{5} to fractions with denominator 30.
\frac{1+24}{30}
Since \frac{1}{30} and \frac{24}{30} have the same denominator, add them by adding their numerators.
\frac{25}{30}
Add 1 and 24 to get 25.
\frac{5}{6}
Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.