## Multiplying Mixed Numbers: A Step-by-Step Guide

This article will guide you through the process of multiplying mixed numbers, specifically the problem **1 2/3 x 2 1/3 x 2**. We will break down the steps and simplify the final answer.

### Converting Mixed Numbers to Fractions

The first step is to convert the mixed numbers into improper fractions.

**1. Multiply the whole number and the denominator.**

- 1 x 3 = 3
- 2 x 3 = 6

**2. Add the numerator to the product from step 1.**

- 3 + 2 = 5
- 6 + 1 = 7

**3. Keep the same denominator.**

- 1 2/3 becomes 5/3
- 2 1/3 becomes 7/3

**4. Rewrite the problem:**

- 5/3 x 7/3 x 2

### Multiplying Fractions

**1. Multiply the numerators.**

- 5 x 7 x 2 = 70

**2. Multiply the denominators.**

- 3 x 3 x 1 = 9

**3. The answer in fraction form is:**

- 70/9

### Simplifying the Answer

While 70/9 is a valid answer, we can simplify it to a mixed number.

**1. Divide the numerator (70) by the denominator (9).**

- 70 ÷ 9 = 7 with a remainder of 7

**2. The quotient (7) becomes the whole number of the mixed number.**

**3. The remainder (7) becomes the numerator of the fraction.**

**4. The denominator (9) stays the same.**

**Therefore, the final answer is 7 7/9.**

### Conclusion

By converting the mixed numbers to fractions and then multiplying, we found that 1 2/3 x 2 1/3 x 2 equals 70/9, which simplifies to **7 7/9**.