**1 4/5 x 2 1/3 in Simplest Form**

In this article, we will discuss how to multiply mixed numbers and convert the result to its simplest form.

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

To multiply mixed numbers, we need to convert them to improper fractions first.

**1 4/5** = **(1 × 5) + 4)** / **5** = **9/5**

**2 1/3** = **(2 × 3) + 1)** / **3** = **7/3**

**Step 2: Multiply the Fractions**

Now, we can multiply the fractions:

**(9/5) × (7/3)** = **63/15**

**Step 3: Simplify the Fraction**

To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 63 and 15 is 3.

So, we can divide both the numerator and the denominator by 3:

**63 ÷ 3** = **21**
**15 ÷ 3** = **5**

Therefore, the result in simplest form is:

**21/5**

**Converting Back to Mixed Number (Optional)**

If you want to convert the result back to a mixed number, you can do so by dividing the numerator by the denominator:

**21 ÷ 5** = **4** with a remainder of **1**

So, the result in mixed number form is:

**4 1/5**

And that's it! We have successfully multiplied **1 4/5** and **2 1/3** and converted the result to its simplest form, which is **21/5** or **4 1/5**.