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\frac{4}{72}+\frac{3}{72}
Least common multiple of 18 and 24 is 72. Convert \frac{1}{18} and \frac{1}{24} to fractions with denominator 72.
\frac{4+3}{72}
Since \frac{4}{72} and \frac{3}{72} have the same denominator, add them by adding their numerators.
\frac{7}{72}
Add 4 and 3 to get 7.