What is 1 3/4 Times Two?
This article will guide you through the process of multiplying a mixed number, 1 3/4, by 2.
Converting to an Improper Fraction
Before we multiply, we need to convert the mixed number 1 3/4 into an improper fraction. Here's how:
- Multiply the whole number by the denominator: 1 * 4 = 4
- Add the numerator: 4 + 3 = 7
- Keep the same denominator: 7/4
Now we have the improper fraction 7/4, representing 1 3/4.
Multiplying by Two
To multiply 7/4 by 2, we simply multiply the numerator by 2:
(7/4) * 2 = 14/4
Simplifying the Result
The fraction 14/4 can be simplified. Both the numerator and denominator are divisible by 2:
14/4 = (14 ÷ 2) / (4 ÷ 2) = 7/2
Converting Back to a Mixed Number
The simplified fraction 7/2 is an improper fraction. Let's convert it back to a mixed number:
- Divide the numerator by the denominator: 7 ÷ 2 = 3 with a remainder of 1
- The quotient becomes the whole number: 3
- The remainder becomes the numerator: 1
- Keep the same denominator: 2
Therefore, 1 3/4 times two is equal to 3 1/2.