Multiplying a Mixed Number by a Proper Fraction: Step-by-Step Example

Worked example

Multiply 1 1/2 by 2/3.

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

Step 2: Multiply the fractions. 3/2 × 2/3.

Step 3: Multiply the numerators. 3 × 2 = 6.

Step 4: Multiply the denominators. 2 × 3 = 6.

Step 5: Write the answer as a fraction. 6/6.

Step 6: Simplify 6/6. 6/6 = 1.

The correct answer is 1.