**Converting Mixed Numbers to Fractions: 1 3/4 x 1 3/4 x 2 1/4**

In this article, we will explore how to convert mixed numbers to fractions and multiply them together. Specifically, we will focus on the problem: 1 3/4 x 1 3/4 x 2 1/4.

**Understanding Mixed Numbers**

A mixed number is a combination of a whole number and a fraction. For example, 1 3/4 is a mixed number, where 1 is the whole number and 3/4 is the fraction.

**Converting Mixed Numbers to Fractions**

To convert a mixed number to a fraction, we need to follow these steps:

- Multiply the whole number by the denominator of the fraction.
- Add the numerator of the fraction to the product.
- Write the result as a fraction with the same denominator.

Let's apply these steps to our mixed numbers:

### 1 3/4

- Multiply the whole number by the denominator: 1 × 4 = 4
- Add the numerator: 4 + 3 = 7
- Write the result as a fraction: 7/4

### 1 3/4

( Same as above )

### 2 1/4

- Multiply the whole number by the denominator: 2 × 4 = 8
- Add the numerator: 8 + 1 = 9
- Write the result as a fraction: 9/4

**Multiplying Fractions**

Now that we have converted our mixed numbers to fractions, we can multiply them together:

### (7/4) × (7/4) × (9/4)

To multiply fractions, we multiply the numerators and multiply the denominators:

- Numerators: 7 × 7 × 9 = 441
- Denominators: 4 × 4 × 4 = 64

The result is:

**441/64**

Therefore, the result of multiplying 1 3/4 x 1 3/4 x 2 1/4 is **441/64**.