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The expression you provided is:

\[
\frac{1}{4} \div \frac{8}{12}
\]

### Step-by-step solution:

1. Division of fractions is the same as multiplying by the reciprocal. So, we can rewrite the division as multiplication:
   \[
   \frac{1}{4} \times \frac{12}{8}
   \]

2. Simplify the fraction \(\frac{12}{8}\):
   \[
   \frac{12}{8} = \frac{3}{2}
   \]

   So now, the expression becomes:
   \[
   \frac{1}{4} \times \frac{3}{2}
   \]

3. Multiply the numerators and the denominators:
   \[
   \frac{1 \times 3}{4 \times 2} = \frac{3}{8}
   \]

### Final Answer:
\[
\frac{1}{4} \div \frac{8}{12} = \frac{3}{8}
\]

Would you like more details on any step? Here are five related questions to consider:

1. How do you multiply and divide fractions in general?
2. How do you find the reciprocal of a fraction?
3. How can you simplify a fraction like \(\frac{12}{8}\)?
4. What are some common mistakes made when dividing fractions?
5. Can you explain how to convert a fraction into a decimal?

**Tip:** Always remember to simplify fractions before multiplying, as it can make calculations easier!

Learn how to solve the fraction division problem 1/4 ÷ 8/12 with a detailed step-by-step solution. This problem covers concepts such as dividing fractions, using the reciprocal, and simplifying results. Suitable for students in Grades 6-8.

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