$\frac{3}{8}$ is what part of $\frac{1}{12}$?

### Concept & Formula To find what part a value $A$ is of another value $B$, use the simple division formula: $$\text{Part} = \frac{A}{B}$$ ### Step-by-Step Solution * **Set up the fraction division:** Here, $A = \frac{3}{8}$ and $B = \frac{1}{12}$. $$\text{Part} = \frac{\frac{3}{8}}{\frac{1}{12}}$$ * **Multiply by the reciprocal:** $$\text{Part} = \frac{3}{8} \times 12$$ $$\text{Part} = \frac{36}{8} = \frac{9}{2} = 4.5$$ * **Examine the options:** The exact calculated fraction is $\frac{9}{2}$ (or $4 \frac{1}{2}$). The given choices are (a) $\frac{3}{7}$, (b) $\frac{1}{12}$, and (c) $\frac{4}{3}$. Since $\frac{9}{2}$ is absent, the option is "None of these". ### Exam Strategy & Shortcut Always remember that dividing by a fraction means multiplying by its inverse. $\frac{3}{8} \times 12$. Cancel the common factor 4 out of 8 and 12 to get $\frac{3 \times 3}{2} = \frac{9}{2}$ within seconds. ### Common Pitfall Students frequently invert the wrong fraction, evaluating $\frac{1}{12} \div \frac{3}{8} = \frac{2}{9}$, which leads to selecting incorrect choices or experiencing confusion over reciprocal steps. ### Final Answer **Therefore, the correct answer is None of these.**