To calculate \(4 \times 2 \frac{2}{7}\):

1. Convert the mixed number to an improper fraction:
   \[
   2 \frac{2}{7} = \frac{2 \times 7 + 2}{7} = \frac{14 + 2}{7} = \frac{16}{7}
   \]

2. Now multiply 4 by \(\frac{16}{7}\):
   \[
   4 \times \frac{16}{7} = \frac{4 \times 16}{7} = \frac{64}{7}
   \]

3. Convert \(\frac{64}{7}\) into a mixed number:
   \[
   \frac{64}{7} = 9 \frac{1}{7}
   \]

Thus, \(4 \times 2 \frac{2}{7} = 9 \frac{1}{7}\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you multiply mixed numbers directly without converting?
2. How do you convert an improper fraction back to a mixed number?
3. Can you explain how to simplify fractions when multiplying?
4. What is the process for dividing mixed numbers?
5. How do you handle addition and subtraction of fractions with different denominators?

**Tip:** Always convert mixed numbers to improper fractions for easier multiplication and division!

Discover how to multiply the whole number 4 by the mixed number 2 2/7. This step-by-step guide explains converting mixed numbers to improper fractions, multiplying, and converting back to mixed numbers. Suitable for students in Grades 5-7.

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