**1 3/4 x 2 1/2 as a Fraction**

In this article, we will explore how to multiply mixed numbers and convert the result to a fraction.

**Understanding Mixed Numbers**

Before we dive into the multiplication, let's quickly review what mixed numbers are. 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.

**Multiplying Mixed Numbers**

To multiply two mixed numbers, we need to follow these steps:

**Convert both mixed numbers to improper fractions**: Convert each mixed number to an improper fraction by multiplying the whole number part by the denominator and then adding the numerator.

For example, let's convert 1 3/4 and 2 1/2 to improper fractions:

- 1 3/4 = (1 × 4) + 3 = 7/4
- 2 1/2 = (2 × 2) + 1 = 5/2

**Multiply the numerators and multiply the denominators**: Multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom) of the two improper fractions.

Numerators: 7 × 5 = 35 Denominators: 4 × 2 = 8

**Write the result as a fraction**: Write the product of the numerators over the product of the denominators.

Result: 35/8

**Simplifying the Fraction (Optional)**

If you want to simplify the fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD).

In this case, the GCD of 35 and 8 is 1, so the fraction 35/8 is already in its simplest form.

**Final Answer**

Therefore, 1 3/4 x 2 1/2 as a fraction is equal to **35/8**.