Multiplying Fractions: 1 1/3 x 1/2
This article will guide you through the process of multiplying the mixed number 1 1/3 by the fraction 1/2.
Step 1: Convert the Mixed Number to a Fraction
To multiply fractions, we need all numbers to be in fractional form. Let's convert the mixed number 1 1/3 to an improper fraction:
- Multiply the whole number (1) by the denominator (3): 1 * 3 = 3
- Add the numerator (1): 3 + 1 = 4
- Keep the same denominator (3): The improper fraction is 4/3.
Step 2: Multiply the Fractions
Now we have: 4/3 x 1/2
To multiply fractions, simply multiply the numerators and the denominators:
- Numerator: 4 x 1 = 4
- Denominator: 3 x 2 = 6
This gives us the fraction 4/6.
Step 3: Simplify the Fraction
The fraction 4/6 can be simplified. Both the numerator and denominator are divisible by 2:
- 4 / 2 = 2
- 6 / 2 = 3
Therefore, the simplified answer is 2/3.
Conclusion
Therefore, 1 1/3 times 1/2 is equal to 2/3.