Multiplying Fractions: 1 1/2 x 3
This article will guide you through the steps to multiply the mixed number 1 1/2 by the whole number 3.
Step 1: Convert the Mixed Number to an Improper Fraction
- 1 1/2 is equivalent to (1 x 2 + 1)/2 = 3/2
Step 2: Write the Whole Number as a Fraction
- 3 can be written as 3/1.
Step 3: Multiply the Numerators and Denominators
- Multiply the numerators: 3 x 3 = 9
- Multiply the denominators: 2 x 1 = 2
Step 4: Simplify the Result
- The product of 3/2 and 3/1 is 9/2.
Step 5: Convert the Improper Fraction to a Mixed Number (Optional)
- 9/2 can be converted back to a mixed number: 4 1/2
Therefore, 1 1/2 x 3 = 9/2 or 4 1/2.