Multiplying Mixed Numbers: Finding 1 1/2 Times 2 1/3
This article will guide you through the process of multiplying mixed numbers, focusing specifically on finding the product of 1 1/2 times 2 1/3.
Converting Mixed Numbers to Fractions:
Before we can multiply, we need to convert our mixed numbers into improper fractions.
- 1 1/2 becomes 3/2: Multiply the whole number (1) by the denominator (2), then add the numerator (1). Keep the same denominator (2).
- 2 1/3 becomes 7/3: Multiply the whole number (2) by the denominator (3), then add the numerator (1). Keep the same denominator (3).
Multiplying Fractions:
Now that we have improper fractions, we can multiply:
(3/2) * (7/3)
To multiply fractions, we simply multiply the numerators and the denominators:
(3 * 7) / (2 * 3)
This gives us:
21/6
Simplifying the Result:
Our answer, 21/6, can be simplified. Both the numerator and denominator are divisible by 3:
21/6 = 7/2
Final Answer:
Therefore, 1 1/2 times 2 1/3 is 7/2. You can also express this as a mixed number, 3 1/2.