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\frac{3+2}{22}+\frac{5}{22}
Since \frac{3}{22} and \frac{2}{22} have the same denominator, add them by adding their numerators.
\frac{5}{22}+\frac{5}{22}
Add 3 and 2 to get 5.
\frac{5+5}{22}
Since \frac{5}{22} and \frac{5}{22} have the same denominator, add them by adding their numerators.
\frac{10}{22}
Add 5 and 5 to get 10.
\frac{5}{11}
Reduce the fraction \frac{10}{22} to lowest terms by extracting and canceling out 2.