Multiplying Mixed Numbers: 1 3/4 cups times 4
This article will guide you through the process of multiplying a mixed number, 1 3/4, by 4.
Understanding Mixed Numbers
First, let's understand what a mixed number is. A mixed number combines a whole number and a fraction, like 1 3/4. It represents 1 whole and 3/4 of another.
Converting Mixed Numbers to Fractions
To multiply a mixed number, it's easiest to convert it to an improper fraction. Here's how:
- Multiply the whole number by the denominator: 1 x 4 = 4
- Add the numerator: 4 + 3 = 7
- Keep the denominator: 7/4
Now, 1 3/4 is equal to 7/4.
Multiplication of Fractions
Multiplying fractions is straightforward:
- Multiply the numerators: 7 x 4 = 28
- Multiply the denominators: 4 x 1 = 4
- Simplify the resulting fraction: 28/4 = 7
Converting Back to Mixed Number (Optional)
The answer, 7, is a whole number. However, if you'd like to express it as a mixed number:
- Divide the numerator (28) by the denominator (4): 28 ÷ 4 = 7
Since the division results in a whole number, there is no remaining fraction.
Conclusion
Therefore, 1 3/4 cups times 4 equals 7 cups.