## What is 1 2/3 times 3?

Let's figure out what happens when we multiply the mixed number **1 2/3** by **3**.

### Step 1: Convert the mixed number to a fraction

First, we need to change the mixed number **1 2/3** into an improper fraction. We can do this by multiplying the whole number (1) by the denominator (3) and then adding the numerator (2). This gives us 1 * 3 + 2 = 5. We keep the same denominator, so our improper fraction is **5/3**.

### Step 2: Multiply the fractions

Now we have the problem: **(5/3) * 3**

Since 3 can be written as 3/1, we can multiply the numerators and the denominators:

- (5 * 3) / (3 * 1) = 15/3

### Step 3: Simplify the result

Finally, we can simplify the fraction 15/3 by dividing both the numerator and the denominator by their greatest common factor, which is 3:

- 15/3 =
**5**

### Conclusion

Therefore, **1 2/3 times 3 is equal to 5**.