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\frac{1}{9}-\frac{1}{12}
Add 3 and 6 to get 9.
\frac{4}{36}-\frac{3}{36}
Least common multiple of 9 and 12 is 36. Convert \frac{1}{9} and \frac{1}{12} to fractions with denominator 36.
\frac{4-3}{36}
Since \frac{4}{36} and \frac{3}{36} have the same denominator, subtract them by subtracting their numerators.
\frac{1}{36}
Subtract 3 from 4 to get 1.