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Step1: Find common denominator
The least common denominator of 3 and 12 is 12. Rewrite $\frac{2}{3}$ with denominator 12:
$\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$
Step2: Subtract the fractions
Subtract the numerators while keeping the denominator the same:
$\frac{8}{12} - \frac{1}{12} = \frac{8 - 1}{12}$
Step3: Simplify the result
Calculate the difference in the numerator:
$\frac{7}{12}$
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$\frac{7}{12}$