2. Which explains why \( \frac{1}{3} \div 4=\frac{1}{12} \) ? A. When \( \frac{1}{3} \) is divided into 12 equal parts, the size of each part is \( \frac{1}{4} \). B. When 4 is divided into \( \frac{1}{3} \) equal parts, the size of each part is \( \frac{1}{12} \). C. When \( \frac{1}{3} \) is divided into 4 equal parts, the size of each part is \( \frac{1}{12} \). D. When \( \frac{1}{12} \) is divided into 4 equal parts, the size of each part is \( \frac{1}{3} \).

When we divide \( \frac{1}{3} \) into 4 equal parts, we are essentially asking how many times \( 4 \) fits into \( \frac{1}{3} \). To find the size of each part, we can divide \( \frac{1}{3} \) by \( 4 \). Mathematically, this is the same as multiplying by the reciprocal of \( 4 \), which is \( \frac{1}{4} \). Thus, \( \frac{1}{3} \div 4 = \frac{1}{3} \times \frac{1}{4} = \frac{1}{12} \). To visualize this, imagine you have a pie cut into 3 equal pieces, each representing \( \frac{1}{3} \). Now, if you wanted to divide that single \( \frac{1}{3} \) piece into 4 smaller pieces, each piece would end up being \( \frac{1}{12} \) of the whole pie, showcasing the division in an appetizing way!