To convert \( \frac{406}{6} \) into a mixed number, follow these steps:

1. **Divide the numerator by the denominator**:  
   \( 406 \div 6 = 67 \) with a remainder of 4.

2. **Write the quotient as the whole number**:  
   The whole number part is 67.

3. **Place the remainder over the original denominator**:  
   The remainder is 4, so the fraction part is \( \frac{4}{6} \).

4. **Simplify the fraction** (if possible):  
   \( \frac{4}{6} \) simplifies to \( \frac{2}{3} \) (dividing both numerator and denominator by 2).

So, \( \frac{406}{6} \) as a mixed number is \( 67 \frac{2}{3} \).

Would you like more details on any part of this conversion?

Here are some related questions:
1. How do you convert improper fractions to mixed numbers?
2. How do you simplify fractions?
3. What are mixed numbers and improper fractions?
4. Can every improper fraction be converted to a mixed number?
5. How do you add and subtract mixed numbers?

**Tip:** Always simplify the fraction part of a mixed number to its lowest terms for the final answer.

Learn how to convert the improper fraction 406/6 into a mixed number and simplify the fraction. This detailed solution covers the conversion process, including division, identifying the quotient and remainder, and simplifying the fraction. Suitable for students in Grades 4-6.

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