**Simplifying Mixed Numbers: 1 4/5 x 2 1/3 as a Fraction**

When working with mixed numbers, it's essential to understand how to simplify them and perform operations such as multiplication. In this article, we'll explore how to multiply two mixed numbers, specifically 1 4/5 and 2 1/3, and express the result as a fraction.

**Converting Mixed Numbers to Improper Fractions**

Before we dive into the multiplication process, let's convert both mixed numbers to improper fractions.

### 1 4/5

To convert 1 4/5 to an improper fraction, we'll multiply the whole number part (1) by the denominator (5) and then add the numerator (4):

1 × 5 = 5 5 + 4 = 9

So, 1 4/5 is equivalent to the improper fraction:

**9/5**

### 2 1/3

Now, let's convert 2 1/3 to an improper fraction:

2 × 3 = 6 6 + 1 = 7

So, 2 1/3 is equivalent to the improper fraction:

**7/3**

**Multiplying the Improper Fractions**

Now that we have both mixed numbers converted to improper fractions, we can multiply them:

**9/5 × 7/3**

To multiply fractions, we'll multiply the numerators (9 and 7) and multiply the denominators (5 and 3):

(9 × 7) / (5 × 3) = **63/15**

**Simplifying the Result**

The resulting fraction, 63/15, can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 63 and 15 is 3, so we can divide both numbers by 3:

63 ÷ 3 = 21 15 ÷ 3 = 5

The simplified result is:

**21/5**

Therefore, the result of multiplying 1 4/5 and 2 1/3 is equivalent to the improper fraction **21/5**.