1 1/3 Times 2: A Step-by-Step Guide
This article will guide you through the process of multiplying the mixed number 1 1/3 by 2. We will break down the steps and express the final answer as a mixed number with a whole number.
1. Converting to an Improper Fraction
The first step is to convert the mixed number 1 1/3 into an improper fraction. We can do this by:
- Multiplying the whole number (1) by the denominator of the fraction (3): 1 * 3 = 3
- Adding the numerator of the fraction (1) to the result: 3 + 1 = 4
- Keeping the same denominator: 4/3
Therefore, 1 1/3 is equivalent to 4/3.
2. Multiplying Fractions
Now we have the following multiplication:
4/3 * 2/1
To multiply fractions, we multiply the numerators and the denominators:
(4 * 2) / (3 * 1) = 8/3
3. Converting Back to a Mixed Number
Finally, we need to convert the improper fraction 8/3 back into a mixed number.
- Divide the numerator (8) by the denominator (3): 8 ÷ 3 = 2 with a remainder of 2
- The quotient (2) becomes the whole number of the mixed number
- The remainder (2) becomes the numerator of the fraction
- The denominator remains the same (3)
Therefore, 8/3 is equivalent to 2 2/3.
Conclusion
In conclusion, 1 1/3 times 2 is equal to 2 2/3. By converting the mixed number into an improper fraction, multiplying the fractions, and then converting back to a mixed number, we can successfully solve this problem.