## Multiplying Mixed Numbers: 1 2/3 x 1 1/5

Let's solve the multiplication problem: **1 2/3 x 1 1/5**.

### Understanding Mixed Numbers

Before we multiply, let's understand what mixed numbers are. A mixed number combines a whole number and a fraction, like **1 2/3**.

### Converting Mixed Numbers to Improper Fractions

To make multiplication easier, we'll convert the mixed numbers into improper fractions. Here's how:

**1 2/3**: Multiply the whole number (1) by the denominator (3) and add the numerator (2): (1 * 3) + 2 = 5. Keep the same denominator (3). The improper fraction is**5/3**.**1 1/5**: Multiply the whole number (1) by the denominator (5) and add the numerator (1): (1 * 5) + 1 = 6. Keep the same denominator (5). The improper fraction is**6/5**.

### Multiplying the Improper Fractions

Now we have: **5/3 x 6/5**. To multiply fractions, we multiply the numerators and the denominators:

**(5 x 6) / (3 x 5)****30/15**

### Simplifying the Fraction

The fraction 30/15 can be simplified. Both the numerator and denominator are divisible by 15:

**30/15 = 2/1 = 2**

### Conclusion

Therefore, **1 2/3 x 1 1/5 = 2**.