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|\frac{2}{3}+\frac{1}{9}|
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{1}{9} is \frac{1}{9}.
|\frac{6}{9}+\frac{1}{9}|
Least common multiple of 3 and 9 is 9. Convert \frac{2}{3} and \frac{1}{9} to fractions with denominator 9.
|\frac{6+1}{9}|
Since \frac{6}{9} and \frac{1}{9} have the same denominator, add them by adding their numerators.
|\frac{7}{9}|
Add 6 and 1 to get 7.
\frac{7}{9}
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{7}{9} is \frac{7}{9}.