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\frac{44}{30}+\frac{1}{30}
Least common multiple of 15 and 30 is 30. Convert \frac{22}{15} and \frac{1}{30} to fractions with denominator 30.
\frac{44+1}{30}
Since \frac{44}{30} and \frac{1}{30} have the same denominator, add them by adding their numerators.
\frac{45}{30}
Add 44 and 1 to get 45.
\frac{3}{2}
Reduce the fraction \frac{45}{30} to lowest terms by extracting and canceling out 15.