Finding the Product of 1 1/3 and 2/3
This article will guide you through the process of multiplying the mixed number 1 1/3 by the fraction 2/3.
Converting the Mixed Number
Firstly, 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) and add the numerator (1). This gives us 4. The denominator remains the same, so 1 1/3 is equivalent to 4/3.
Multiplying the Fractions
Now, we can multiply the two fractions: 4/3 and 2/3. To multiply fractions, we multiply the numerators and the denominators.
- Numerator: 4 x 2 = 8
- Denominator: 3 x 3 = 9
Therefore, the product of 4/3 and 2/3 is 8/9.
Conclusion
In conclusion, 1 1/3 times 2/3 is equal to 8/9. By converting the mixed number into an improper fraction and applying the rules of fraction multiplication, we were able to find the answer.