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\frac{2}{3}+\frac{2}{9}=n
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{6}{9}+\frac{2}{9}=n
Least common multiple of 3 and 9 is 9. Convert \frac{2}{3} and \frac{2}{9} to fractions with denominator 9.
\frac{6+2}{9}=n
Since \frac{6}{9} and \frac{2}{9} have the same denominator, add them by adding their numerators.
\frac{8}{9}=n
Add 6 and 2 to get 8.
n=\frac{8}{9}
Swap sides so that all variable terms are on the left hand side.