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find the difference. $\frac{1}{3} - \frac{1}{12} = \frac{?}{?}$

Question

find the difference. $\frac{1}{3} - \frac{1}{12} = \frac{?}{?}$

Explanation:

Step1: Find common denominator

The least common denominator of 3 and 12 is 12. Rewrite $\frac{1}{3}$ with denominator 12:
$\frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12}$

Step2: Subtract the fractions

Subtract the numerators while keeping the denominator:
$\frac{4}{12} - \frac{1}{12} = \frac{4 - 1}{12} = \frac{3}{12}$

Step3: Simplify the fraction

Divide numerator and denominator by their greatest common divisor (3):
$\frac{3 \div 3}{12 \div 3} = \frac{1}{4}$

Answer:

$\frac{1}{4}$