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

This article will guide you through the process of multiplying mixed numbers, specifically focusing on the problem **1 2/3 x 2 3/5**.

### Understanding Mixed Numbers

A **mixed number** combines a whole number and a fraction. To perform multiplication, we first need to convert these mixed numbers into **improper fractions**.

### Converting to Improper Fractions

**1. Multiply the whole number by the denominator:**

- 1 x 3 = 3
**2. Add the numerator:** - 3 + 2 = 5
**3. Keep the same denominator:** - 1 2/3 = 5/3

**Similarly, for 2 3/5:**

- 2 x 5 = 10
- 10 + 3 = 13
- 2 3/5 = 13/5

### Multiplying the Improper Fractions

Now we have 5/3 x 13/5. To multiply fractions, we simply multiply the numerators and the denominators:

- (5 x 13) / (3 x 5) = 65/15

### Simplifying the Result

The fraction 65/15 can be simplified. Both the numerator and denominator are divisible by 5:

- 65/15 = (65/5) / (15/5) = 13/3

### Converting Back to a Mixed Number

Finally, we can convert the improper fraction 13/3 back to a mixed number:

**13 divided by 3 is 4 with a remainder of 1.**- This gives us
**4 1/3**.

### Conclusion

Therefore, 1 2/3 x 2 3/5, expressed in its simplest form, is **4 1/3**.