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\frac{1}{2}+\frac{5}{33}
Reduce the fraction \frac{15}{99} to lowest terms by extracting and canceling out 3.
\frac{33}{66}+\frac{10}{66}
Least common multiple of 2 and 33 is 66. Convert \frac{1}{2} and \frac{5}{33} to fractions with denominator 66.
\frac{33+10}{66}
Since \frac{33}{66} and \frac{10}{66} have the same denominator, add them by adding their numerators.
\frac{43}{66}
Add 33 and 10 to get 43.