## Multiplying Mixed Numbers: 1 1/3 x 1 3/4

This article will walk you through the steps of multiplying the mixed numbers 1 1/3 and 1 3/4.

### Converting Mixed Numbers to Fractions

Before multiplying, we need to convert the mixed numbers into improper fractions. Here's how:

**1 1/3:**Multiply the whole number (1) by the denominator (3) and add the numerator (1). Keep the same denominator. This gives us (1 * 3 + 1)/3 =**4/3**.**1 3/4:**Multiply the whole number (1) by the denominator (4) and add the numerator (3). Keep the same denominator. This gives us (1 * 4 + 3)/4 =**7/4**.

### Multiplying Fractions

Now that we have improper fractions, we can multiply them:

(4/3) * (7/4) = (4 * 7) / (3 * 4) = 28/12

### Simplifying the Result

The fraction 28/12 can be simplified. We can divide both the numerator and denominator by their greatest common factor, which is 4:

28/12 = (28/4) / (12/4) = **7/3**

### Converting Back to a Mixed Number (Optional)

The result, 7/3, is an improper fraction. If you want to express it as a mixed number, divide the numerator (7) by the denominator (3):

7 ÷ 3 = 2 with a remainder of 1.

This means that 7/3 is equivalent to **2 1/3**.

### Therefore:

1 1/3 * 1 3/4 = **7/3** or **2 1/3**