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

This article will guide you through the steps of multiplying mixed numbers, specifically 1 1/2 x 1 1/5.

### Step 1: Convert Mixed Numbers to Improper Fractions

**1 1/2:**Multiply the whole number (1) by the denominator (2) and add the numerator (1): 1 * 2 + 1 = 3. Keep the same denominator (2). Therefore, 1 1/2 is equivalent to 3/2.**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). Therefore, 1 1/5 is equivalent to 6/5.

### Step 2: Multiply the Fractions

- Now we have (3/2) x (6/5)
- Multiply the numerators: 3 x 6 = 18
- Multiply the denominators: 2 x 5 = 10
- This gives us 18/10.

### Step 3: Simplify the Result

- 18/10 is an improper fraction (the numerator is larger than the denominator).
- To simplify, divide the numerator by the denominator: 18 ÷ 10 = 1 with a remainder of 8.
- This means 18/10 is equal to 1 8/10.
- We can further simplify 8/10 by dividing both numerator and denominator by their greatest common factor (2): 8/10 = 4/5.

### Final Answer:

Therefore, 1 1/2 x 1 1/5 = **1 4/5**.