Multiplying Fractions: 1 1/3 times 2
This article will guide you through the steps of multiplying the mixed number 1 1/3 by the whole number 2.
Understanding Mixed Numbers
A mixed number is a combination of a whole number and a fraction. In the case of 1 1/3, we have one whole and one-third of another.
Converting Mixed Numbers to Improper Fractions
Before multiplying, we need to convert the mixed number 1 1/3 into an improper fraction.
- Multiply the whole number by the denominator: 1 * 3 = 3
- Add the numerator: 3 + 1 = 4
- Keep the same denominator: 4/3
Therefore, 1 1/3 is equivalent to 4/3.
Multiplication
Now, we can multiply 4/3 by 2:
(4/3) * 2 = 8/3
Simplifying the Answer
The fraction 8/3 is an improper fraction. To convert it back to a mixed number:
- Divide the numerator by the denominator: 8 ÷ 3 = 2 with a remainder of 2
- The quotient becomes the whole number: 2
- The remainder becomes the numerator: 2
- Keep the same denominator: 2/3
Therefore, 8/3 is equivalent to 2 2/3.
Conclusion
The product of 1 1/3 and 2 is 2 2/3. By understanding how to convert mixed numbers and perform fraction multiplication, you can confidently solve similar problems.