Multiplying Fractions: 1 2/3 Cups x 3
Let's explore how to multiply a mixed number, 1 2/3 cups, by 3.
Understanding Mixed Numbers
First, remember that a mixed number like 1 2/3 represents a whole number (1) plus a fraction (2/3).
Converting to Improper Fractions
To multiply, it's easier to work with improper fractions. Here's how to convert 1 2/3 to an improper fraction:
- Multiply the whole number by the denominator: 1 x 3 = 3
- Add the numerator: 3 + 2 = 5
- Keep the same denominator: 5/3
Now we have the improper fraction 5/3 representing 1 2/3.
Multiplying Fractions
Now, let's multiply 5/3 by 3:
(5/3) * 3 = (5 * 3) / 3 = 15/3
Simplifying the Result
Finally, simplify the fraction 15/3:
15/3 = 5
The Answer
Therefore, 1 2/3 cups multiplied by 3 equals 5 cups.