Calculating 1 1/3 Times 2/3
This article will guide you through the process of multiplying the mixed number 1 1/3 by the fraction 2/3.
Converting Mixed Numbers to Improper Fractions
Before we can multiply, we need to convert the mixed number 1 1/3 into an improper fraction. To do this:
- Multiply the whole number (1) by the denominator of the fraction (3): 1 * 3 = 3
- Add the numerator of the fraction (1) to the result: 3 + 1 = 4
- Keep the same denominator (3): The improper fraction is 4/3
Multiplying Fractions
Now that we have two fractions, we can multiply them:
- Multiply the numerators: 4 * 2 = 8
- Multiply the denominators: 3 * 3 = 9
This gives us the fraction 8/9.
Simplifying the Answer
The fraction 8/9 is already in its simplest form, meaning there are no common factors (other than 1) between the numerator and denominator.
Therefore, 1 1/3 times 2/3 equals 8/9.