What is 1 1/3 cups times two?
Let's figure out how to multiply 1 1/3 cups by two. Here's a breakdown:
Understanding Mixed Numbers
1 1/3 is a mixed number, combining a whole number (1) and a fraction (1/3).
Converting to a Fraction
To make multiplication easier, let's convert 1 1/3 into an improper fraction:
- Multiply the whole number by the denominator of the fraction: 1 x 3 = 3
- Add the numerator: 3 + 1 = 4
- Keep the same denominator: 4/3
Now we have 4/3 instead of 1 1/3.
Multiplying by Two
To multiply 4/3 by two, we simply multiply the numerator by two:
(4/3) x 2 = 8/3
Converting Back to a Mixed Number
8/3 is an improper fraction, so let's convert it back to a mixed number:
- Divide the numerator (8) by the denominator (3): 8 ÷ 3 = 2 with a remainder of 2
- The whole number is 2.
- The remainder (2) becomes the numerator of the fraction, keeping the same denominator (3): 2/3
Therefore, 8/3 is equivalent to 2 2/3.
Final Answer
1 1/3 cups times two equals 2 2/3 cups.