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

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

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

**1 1/2**becomes**3/2**(multiply the whole number by the denominator and add the numerator, keeping the same denominator)**3 1/2**becomes**7/2**

### Step 2: Multiply the Fractions

- (3/2) x (7/2) = (3 x 7) / (2 x 2) = 21/4

### Step 3: Convert the Improper Fraction Back to a Mixed Number

- 21/4 is equal to
**5 1/4**(divide the numerator by the denominator, the quotient is the whole number, the remainder is the numerator of the fraction, and the denominator stays the same)

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

### Key Takeaways:

- When multiplying mixed numbers, first convert them to improper fractions.
- Then, multiply the numerators and denominators of the fractions.
- Finally, convert the resulting improper fraction back to a mixed number.