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\frac{22}{66}+\frac{21}{66}
Least common multiple of 3 and 22 is 66. Convert \frac{1}{3} and \frac{7}{22} to fractions with denominator 66.
\frac{22+21}{66}
Since \frac{22}{66} and \frac{21}{66} have the same denominator, add them by adding their numerators.
\frac{43}{66}
Add 22 and 21 to get 43.