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The question in your image asks you to perform the following operation and reduce the answer:

\[
\frac{1}{6} \div \frac{3}{8}
\]

### Step 1: Rewrite the division as multiplication
When dividing fractions, you multiply by the reciprocal of the second fraction. The reciprocal of \(\frac{3}{8}\) is \(\frac{8}{3}\).

\[
\frac{1}{6} \div \frac{3}{8} = \frac{1}{6} \times \frac{8}{3}
\]

### Step 2: Multiply the fractions
Now, multiply the numerators and the denominators:

\[
\frac{1 \times 8}{6 \times 3} = \frac{8}{18}
\]

### Step 3: Simplify the fraction
To simplify \(\frac{8}{18}\), find the greatest common divisor (GCD) of 8 and 18, which is 2. Divide both the numerator and the denominator by 2:

\[
\frac{8}{18} = \frac{8 \div 2}{18 \div 2} = \frac{4}{9}
\]

Thus, the simplified answer is:

\[
\boxed{\frac{4}{9}}
\]

Would you like more details on the steps, or have any questions? Here are some related problems to consider:

1. What is the reciprocal of a fraction and how is it used in division?
2. How do you find the GCD of two numbers?
3. What are other examples of dividing fractions?
4. How would you multiply two fractions with larger numerators and denominators?
5. Can a division of fractions result in a whole number?

**Tip:** Always simplify fractions by finding the GCD to make your answers as concise as possible.

Perform the operation and reduce the answer fully: 1/6 ÷ 3/8.

Learn how to divide the fractions 1/6 and 3/8 with a detailed step-by-step solution, including reciprocal usage and simplifying the result using the GCD. Suitable for students in Grades 6-8.

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