To solve \(\frac{3}{7} \div 6\), we follow these steps:

### Step 1: Rewrite the division as multiplication
Dividing by a number is the same as multiplying by its reciprocal. So:

\[
\frac{3}{7} \div 6 = \frac{3}{7} \times \frac{1}{6}
\]

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

\[
\frac{3}{7} \times \frac{1}{6} = \frac{3 \times 1}{7 \times 6} = \frac{3}{42}
\]

### Step 3: Simplify the fraction
The greatest common divisor (GCD) of 3 and 42 is 3, so divide both the numerator and denominator by 3:

\[
\frac{3}{42} = \frac{1}{14}
\]

Thus, \(\frac{3}{7} \div 6 = \frac{1}{14}\).

Would you like more details or have any questions?

Here are some related questions:
1. How do you divide mixed numbers by whole numbers?
2. What happens when dividing by a fraction?
3. How do you simplify complex fractions?
4. Can you multiply fractions with whole numbers directly?
5. How do you find the greatest common divisor (GCD) of two numbers?

**Tip:** Always simplify your answer whenever possible by finding the GCD of the numerator and denominator.

Learn how to divide the fraction 3/7 by the whole number 6. This problem covers the concept of division of fractions, applying the reciprocal rule, and simplifying the result using the GCD. Suitable for students in Grades 5-7.

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