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Step1: Convert to common denominator
$\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$
Step2: Subtract the fractions
$\frac{4}{12} - \frac{3}{12} = \frac{4-3}{12}$
Step3: Simplify the result
$\frac{1}{12}$
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$\frac{1}{12}$