Multiplying Fractions: 1 2/3 x 1/3
This article will guide you through multiplying the mixed number 1 2/3 by the fraction 1/3.
Converting the Mixed Number
First, we need to convert the mixed number 1 2/3 into an improper fraction. To do this:
- Multiply the whole number (1) by the denominator (3): 1 x 3 = 3
- Add the numerator (2) to the result: 3 + 2 = 5
- Keep the same denominator (3): 5/3
Now our problem is 5/3 x 1/3.
Multiplying Fractions
To multiply fractions, we simply multiply the numerators and the denominators:
- Numerator: 5 x 1 = 5
- Denominator: 3 x 3 = 9
This gives us the answer 5/9.
Simplifying the Fraction
The fraction 5/9 is already in its simplest form, as 5 and 9 have no common factors other than 1.
Therefore, 1 2/3 x 1/3 = 5/9