Multiplying Mixed Numbers: 1 2/3 x 2
This article explores the process of multiplying a mixed number, 1 2/3, by 2.
Understanding Mixed Numbers
A mixed number combines a whole number and a fraction, like 1 2/3. It represents the sum of the whole number and the fraction.
Converting to an Improper Fraction
Before we multiply, it's helpful to convert the mixed number into an improper fraction. Here's how:
- Multiply the whole number by the denominator: 1 x 3 = 3
- Add the numerator: 3 + 2 = 5
- Keep the same denominator: 5/3
Therefore, 1 2/3 is equivalent to 5/3.
Multiplication
Now, we can multiply the improper fraction by 2:
(5/3) x 2 = 10/3
Simplifying the Result
The fraction 10/3 is an improper fraction, as the numerator is larger than the denominator. We can simplify this by converting it back to a mixed number:
- Divide the numerator by the denominator: 10 ÷ 3 = 3 with a remainder of 1
- The quotient (3) becomes the whole number: 3
- The remainder (1) becomes the numerator: 1
- The denominator stays the same: 3
Therefore, 10/3 is equivalent to 3 1/3.
Conclusion
The answer to 1 2/3 x 2 is 3 1/3.