Multiplying Mixed Numbers: 1 1/4 x 1 1/2
This article will guide you through the process of multiplying the mixed numbers 1 1/4 and 1 1/2.
Converting Mixed Numbers to Improper Fractions
The first step is to convert the mixed numbers into improper fractions.
1 1/4:
- Multiply the whole number (1) by the denominator of the fraction (4): 1 * 4 = 4
- Add the numerator (1) to the product: 4 + 1 = 5
- Keep the same denominator (4): 5/4
1 1/2:
- Multiply the whole number (1) by the denominator of the fraction (2): 1 * 2 = 2
- Add the numerator (1) to the product: 2 + 1 = 3
- Keep the same denominator (2): 3/2
Multiplying Improper Fractions
Now, we have the improper fractions 5/4 and 3/2. To multiply fractions, simply multiply the numerators and the denominators.
- (5/4) * (3/2) = (5 * 3) / (4 * 2) = 15/8
Converting Back to a Mixed Number
The answer, 15/8, is an improper fraction. We can convert it back into 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.
- The denominator (8) stays the same.
Therefore, 15/8 is equivalent to 1 7/8.
Conclusion
The product of 1 1/4 and 1 1/2 is 1 7/8. Remember, when multiplying mixed numbers, it's always best to convert them into improper fractions first, then multiply.