## Multiplying Mixed Numbers: A Step-by-Step Guide

Multiplying mixed numbers can seem intimidating, but it's actually quite simple. Let's break down how to multiply **1 1/2 x 3 1/2** and get the answer in its simplest form.

### 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). Keep the same denominator. (1 * 2 + 1) / 2 =**3/2****3 1/2:**Multiply the whole number (3) by the denominator (2) and add the numerator (1). Keep the same denominator. (3 * 2 + 1) / 2 =**7/2**

Now our problem looks like this: **(3/2) x (7/2)**

### Step 2: Multiply the Numerators and Denominators

- Multiply the numerators: 3 x 7 =
**21** - Multiply the denominators: 2 x 2 =
**4**

We now have **21/4**.

### Step 3: Simplify the Fraction

**21/4**is an improper fraction (the numerator is larger than the denominator). To simplify, we convert it to a mixed number.- Divide the numerator (21) by the denominator (4): 21 / 4 = 5 with a remainder of 1.
- The quotient (5) becomes the whole number, and the remainder (1) becomes the numerator. The denominator stays the same.
**21/4**simplifies to**5 1/4**

### Final Answer:

Therefore, **1 1/2 x 3 1/2 = 5 1/4**