To divide \( 3 \frac{3}{7} \) by 8, follow these steps:

1. Convert the mixed number \( 3 \frac{3}{7} \) into an improper fraction:
   \[
   3 \frac{3}{7} = \frac{3 \times 7 + 3}{7} = \frac{21 + 3}{7} = \frac{24}{7}
   \]

2. Now, divide \( \frac{24}{7} \) by 8. Dividing by 8 is the same as multiplying by the reciprocal of 8:
   \[
   \frac{24}{7} \div 8 = \frac{24}{7} \times \frac{1}{8} = \frac{24 \times 1}{7 \times 8} = \frac{24}{56}
   \]

3. Simplify the fraction \( \frac{24}{56} \):
   \[
   \frac{24}{56} = \frac{24 \div 8}{56 \div 8} = \frac{3}{7}
   \]

Thus, \( 3 \frac{3}{7} \div 8 = \frac{3}{7} \).

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you multiply two fractions?
2. How can you convert a mixed number into a decimal?
3. What is \( \frac{4}{5} \) divided by 3?
4. How do you simplify fractions?
5. How can you convert an improper fraction back into a mixed number?

**Tip**: Always remember, dividing by a number is the same as multiplying by its reciprocal.

Learn how to divide the mixed number 3 3/7 by 8 using fraction division. This solution explains the process of converting a mixed number into an improper fraction and multiplying by the reciprocal of 8. The final simplified answer is 3/7. Suitable for Grades 6-8.

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