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

This article will guide you through the process of multiplying mixed numbers, using the example of **1 1/2 x 3 2/5**.

### Understanding Mixed Numbers

Mixed numbers combine a whole number and a fraction. To multiply mixed numbers, we first need to convert them into improper fractions.

### Converting Mixed Numbers to Improper Fractions

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

- For 1 1/2, 1 x 2 = 2

**2. Add the numerator of the fraction to the result:**

- 2 + 1 = 3

**3. Keep the same denominator:**

- The improper fraction for 1 1/2 is 3/2.

**4. Repeat the process for the other mixed number:**

- For 3 2/5, 3 x 5 = 15
- 15 + 2 = 17
- The improper fraction for 3 2/5 is 17/5.

### Multiplying Improper Fractions

Now that we have our improper fractions, we can multiply them like any other fraction:

**1. Multiply the numerators:**

- 3 x 17 = 51

**2. Multiply the denominators:**

- 2 x 5 = 10

**3. Simplify the resulting fraction:**

- 51/10 is an improper fraction. We can convert it back to a mixed number: 51 divided by 10 equals 5 with a remainder of 1. Therefore, the simplified answer is
**5 1/10**.

### Conclusion

Multiplying mixed numbers involves converting them to improper fractions, multiplying the fractions, and then simplifying the result. Following these steps, you can successfully multiply any mixed numbers.