Multiplying Fractions: 1 1/3 x 2
This article will walk you through the process of multiplying the mixed number 1 1/3 by the whole number 2.
Converting Mixed Numbers to Fractions
The first step is to convert the mixed number 1 1/3 into an improper fraction. We do this by:
- Multiplying the whole number (1) by the denominator (3): 1 x 3 = 3
- Adding the numerator (1): 3 + 1 = 4
- Keeping the same denominator (3): The improper fraction is 4/3.
Multiplying Fractions
Now we have the problem: 4/3 x 2/1.
To multiply fractions, we simply multiply the numerators and the denominators:
- Numerators: 4 x 2 = 8
- Denominators: 3 x 1 = 3
This gives us the fraction 8/3.
Simplifying the Answer
The fraction 8/3 is an improper fraction, as the numerator is larger than the denominator. We can convert it to a mixed number:
- Divide the numerator (8) by the denominator (3): 8 ÷ 3 = 2 with a remainder of 2.
- The quotient (2) becomes the whole number part of the mixed number.
- The remainder (2) becomes the numerator of the fraction.
- Keep the same denominator (3): The mixed number is 2 2/3.
Conclusion
Therefore, 1 1/3 x 2 = 2 2/3.