What is 1 1/3 times 1/2?
Let's break down how to multiply the mixed number 1 1/3 by the fraction 1/2.
Converting to a Fraction
First, we need to convert the mixed number 1 1/3 into an improper fraction.
- Multiply the whole number (1) by the denominator of the fraction (3): 1 * 3 = 3
- Add the numerator of the fraction (1): 3 + 1 = 4
- Keep the same denominator (3): 4/3
Now we have 4/3 instead of 1 1/3.
Multiplication
Now we can multiply the fractions:
- (4/3) * (1/2)
To multiply fractions, we simply multiply the numerators and the denominators:
- (4 * 1) / (3 * 2)
This gives us:
- 4/6
Simplifying
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:
- 4/6 = 2/3
Conclusion
Therefore, 1 1/3 times 1/2 is equal to 2/3.