Multiplying Mixed Numbers: Finding 1 1/4 Times 1 1/2
This article will guide you through the process of multiplying mixed numbers, specifically finding the product of 1 1/4 times 1 1/2.
Converting Mixed Numbers to Fractions
The first step is to convert both mixed numbers into improper fractions.
- 1 1/4: Multiply the whole number (1) by the denominator (4), then add the numerator (1): (1 x 4) + 1 = 5. Keep the same denominator: 5/4.
- 1 1/2: Multiply the whole number (1) by the denominator (2), then add the numerator (1): (1 x 2) + 1 = 3. Keep the same denominator: 3/2.
Multiplying Fractions
Now that we have improper fractions, we can multiply them:
(5/4) * (3/2)
To multiply fractions, simply multiply the numerators and the denominators:
(5 * 3) / (4 * 2) = 15/8
Simplifying the Answer
The fraction 15/8 is an improper fraction because the numerator is greater than the denominator. To convert it to a mixed number:
- Divide the numerator (15) by the denominator (8): 15 ÷ 8 = 1 with a remainder of 7.
- The quotient (1) becomes the whole number of the mixed number.
- The remainder (7) becomes the numerator of the fraction.
- Keep the same denominator (8): 1 7/8
Final Answer
Therefore, 1 1/4 times 1 1/2 equals 1 7/8.