## What is 1 1/2 x 3 1/2 x 2 1/2?

This equation represents the multiplication of three mixed numbers: 1 1/2, 3 1/2, and 2 1/2. Let's break down how to solve this:

### Understanding Mixed Numbers

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

**Here's how to convert each mixed number:**

**1 1/2:**Multiply the whole number (1) by the denominator (2) and add the numerator (1), keeping the same denominator. (1 x 2) + 1 = 3. So, 1 1/2 is equivalent to 3/2.**3 1/2:**(3 x 2) + 1 = 7. So, 3 1/2 is equivalent to 7/2.**2 1/2:**(2 x 2) + 1 = 5. So, 2 1/2 is equivalent to 5/2.

### Multiplying Improper Fractions

Now we have: 3/2 x 7/2 x 5/2

To multiply fractions, simply multiply the numerators (top numbers) and the denominators (bottom numbers):

**Numerator:**3 x 7 x 5 = 105**Denominator:**2 x 2 x 2 = 8

This gives us 105/8.

### Converting Back to a Mixed Number

To express the answer as a mixed number, divide the numerator (105) by the denominator (8):

- 105 divided by 8 equals 13 with a remainder of 1.

Therefore, 105/8 is equivalent to **13 1/8**.

**In conclusion, 1 1/2 x 3 1/2 x 2 1/2 = 13 1/8.**