To multiply the mixed numbers \( 2 \frac{1}{3} \times 1 \frac{2}{7} \), follow these steps:

1. **Convert the mixed numbers to improper fractions:**

   \[
   2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{7}{3}
   \]

   \[
   1 \frac{2}{7} = \frac{1 \times 7 + 2}{7} = \frac{9}{7}
   \]

2. **Multiply the improper fractions:**

   \[
   \frac{7}{3} \times \frac{9}{7} = \frac{7 \times 9}{3 \times 7} = \frac{63}{21}
   \]

3. **Simplify the result:**

   \[
   \frac{63}{21} = 3
   \]

So, the product of \( 2 \frac{1}{3} \times 1 \frac{2}{7} \) is \( \boxed{3} \).

Would you like further details or have any questions?

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Here are 5 related questions to deepen your understanding:

1. How do you multiply fractions with different denominators?
2. What are improper fractions, and how do you convert mixed numbers to them?
3. How can you simplify a fraction?
4. What is the process for dividing mixed numbers?
5. How do you convert a product of improper fractions back to a mixed number?

**Tip:** Always simplify fractions when possible to make calculations easier and results clearer.

Learn how to multiply mixed numbers 2 1/3 and 1 2/7 with a step-by-step solution. This problem covers key concepts in fractions and mixed numbers multiplication. Suitable for students in Grades 5-7.

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