## Calculating 1 2/3 times 3/5

This article will guide you through the process of multiplying a mixed number, 1 2/3, by a fraction, 3/5.

### Understanding Mixed Numbers

Before we start, let's understand what a mixed number is. A mixed number combines a whole number and a fraction. In our case, 1 2/3 represents one whole and two-thirds.

### Converting the Mixed Number

To multiply a mixed number by a fraction, it's easier to convert the mixed number into an improper fraction. Here's how:

**Multiply the whole number by the denominator:**1 x 3 = 3**Add the numerator:**3 + 2 = 5**Keep the same denominator:**5/3

Now, we have 1 2/3 represented as 5/3.

### Multiplying Fractions

Now we can multiply 5/3 by 3/5. Remember that to multiply fractions, we multiply the numerators and the denominators:

(5/3) x (3/5) = (5 x 3) / (3 x 5)

### Simplifying the Result

Simplifying the product, we get:

15/15 = 1

### Final Answer

Therefore, 1 2/3 times 3/5 equals **1**.