**1 3/4 x 1 1/2 as a Mixed Number**

In this article, we will explore how to multiply fractions and convert the result to a mixed number. Specifically, we will calculate the product of 1 3/4 and 1 1/2 as a mixed number.

**Step 1: Convert the Mixed Numbers to Improper Fractions**

To multiply mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

### Convert 1 3/4 to an Improper Fraction

1 3/4 = 7/4 (multiply the whole number part by the denominator and add the numerator)

### Convert 1 1/2 to an Improper Fraction

1 1/2 = 3/2 (multiply the whole number part by the denominator and add the numerator)

**Step 2: Multiply the Improper Fractions**

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

(7/4) × (3/2) = ?

To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), then simplify the result:

(7 × 3) / (4 × 2) = 21/8

**Step 3: Convert the Result to a Mixed Number**

Finally, we convert the improper fraction back to a mixed number:

21/8 = **2 5/8**

Therefore, 1 3/4 × 1 1/2 = **2 5/8** as a mixed number.

By following these steps, you can multiply mixed numbers and convert the result to a mixed number.