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\frac{2}{4}+\frac{2}{3}
Multiply 2 and \frac{1}{4} to get \frac{2}{4}.
\frac{1}{2}+\frac{2}{3}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
\frac{3}{6}+\frac{4}{6}
Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{2}{3} to fractions with denominator 6.
\frac{3+4}{6}
Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.
\frac{7}{6}
Add 3 and 4 to get 7.