## Multiplying Mixed Numbers: 1 1/3 x 2 3/8

This article will guide you through the process of multiplying mixed numbers, using the example of **1 1/3 x 2 3/8**.

### 1. Convert Mixed Numbers to Improper Fractions

The first step is to convert both mixed numbers into improper fractions. Here's how:

**1 1/3:**Multiply the whole number (1) by the denominator (3) and add the numerator (1). Keep the same denominator. (1 x 3 + 1) / 3 = 4/3**2 3/8:**Multiply the whole number (2) by the denominator (8) and add the numerator (3). Keep the same denominator. (2 x 8 + 3) / 8 = 19/8

Now our problem is: **4/3 x 19/8**

### 2. Multiply the Numerators and Denominators

Multiply the numerators together and the denominators together:

(4 x 19) / (3 x 8) = 76/24

### 3. Simplify the Result

The fraction 76/24 can be simplified. Find the greatest common factor (GCF) of 76 and 24, which is 4. Divide both the numerator and denominator by 4:

76/4 = 19 24/4 = 6

Therefore, the simplified answer is **19/6**.

### 4. Convert Back to a Mixed Number (Optional)

If you need the answer in mixed number form, divide the numerator (19) by the denominator (6):

19 ÷ 6 = 3 with a remainder of 1

This means the mixed number is **3 1/6**.

### Conclusion

By following these steps, you can confidently multiply any two mixed numbers. Remember to always simplify your answer whenever possible.