Multiplying Fractions: 1 1/3 Cup Times 4
This article will guide you through the steps of multiplying a mixed number by a whole number. We will solve the problem of 1 1/3 cup times 4.
Understanding the Problem
The problem asks us to find the total amount of liquid if we have four times the quantity of 1 1/3 cups. This is a multiplication problem involving a mixed number (1 1/3) and a whole number (4).
Converting to an Improper Fraction
To make multiplication easier, we'll convert the mixed number 1 1/3 into an improper fraction:
- Multiply the whole number and the denominator: 1 * 3 = 3
- Add the numerator: 3 + 1 = 4
- Keep the same denominator: 4/3
Now our problem is: 4/3 times 4.
Multiplying Fractions
To multiply fractions, we simply multiply the numerators and the denominators:
- Multiply the numerators: 4 * 4 = 16
- Multiply the denominators: 3 * 1 = 3
This gives us the result: 16/3
Converting Back to a Mixed Number
The answer, 16/3, is an improper fraction. To convert it back to a mixed number:
- Divide the numerator by the denominator: 16 ÷ 3 = 5 with a remainder of 1
- The quotient (5) becomes the whole number part of the mixed number.
- The remainder (1) becomes the numerator of the fraction.
- Keep the same denominator (3): 5 1/3
Final Answer
Therefore, 1 1/3 cup times 4 is equal to 5 1/3 cups.