Multiplying mixed numbers by a whole number

Worked example

Multiply 1 2/3 by 4.

Step 1: Change 1 2/3 to an improper fraction.

1 × 3 = 3. 3 + 2 = 5. So, 1 2/3 = 5/3.

Step 2: Multiply 5/3 by 4.

4 is the same as 4/1. 5/3 × 4/1 = 20/3.

Step 3: Change 20/3 back to a mixed number.

3 goes into 20 six times (3 × 6 = 18). 20 - 18 = 2.

So, 20/3 = 6 2/3.

The correct answer is 6 2/3.