## Calculating 1 3/4 times 2 1/4

This article will guide you through calculating the product of **1 3/4** and **2 1/4**.

### Understanding Mixed Numbers

Before we start, let's understand mixed numbers. A mixed number combines a whole number and a fraction, like **1 3/4**. To work with mixed numbers in multiplication, we need to convert them into improper fractions.

### Converting Mixed Numbers to Improper Fractions

**1 3/4:**Multiply the whole number (1) by the denominator of the fraction (4), then add the numerator (3). This gives you 7. Keep the same denominator (4). The improper fraction for 1 3/4 is**7/4**.**2 1/4:**Multiply the whole number (2) by the denominator (4) and add the numerator (1). This gives you 9. Keep the same denominator (4). The improper fraction for 2 1/4 is**9/4**.

### Multiplying Improper Fractions

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

**(7/4) * (9/4) = (7 * 9) / (4 * 4) = 63/16**

### Converting Back to Mixed Number

The result is an improper fraction, but we can convert it back to a mixed number:

- Divide the numerator (63) by the denominator (16): 63 / 16 = 3 with a remainder of 15.
- The whole number is 3, the remainder (15) becomes the numerator, and the denominator stays the same (16).

Therefore, **1 3/4 times 2 1/4 is equal to 3 15/16**.