Multiplying Fractions: 1 1/3 Cup Times 3
In this article, we will learn how to multiply a mixed number, 1 1/3, by 3.
Understanding the Problem
We are asked to find the result of multiplying 1 1/3 cups by 3. This could be a scenario where we need to triple a recipe ingredient or calculate the total volume of a liquid in a container.
Converting to Improper Fractions
Before multiplying, it's easier to work with improper fractions. To convert 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): 4/3
Now we have the equivalent improper fraction: 4/3
Performing the Multiplication
Now we can multiply 4/3 by 3:
(4/3) * 3 = (4 * 3) / 3 = 12/3
Simplifying the Result
Finally, we simplify the improper fraction 12/3:
12/3 = 4
Conclusion
Therefore, 1 1/3 cup times 3 equals 4 cups.