Multiplying Mixed Numbers: 1 1/3 x 2 1/3
This article will guide you through multiplying the mixed numbers 1 1/3 and 2 1/3, resulting in a fraction.
Converting to Improper Fractions
First, we need to convert our mixed numbers into improper fractions.
To do this, we multiply the whole number by the denominator, add the numerator, and keep the same denominator.
- 1 1/3: (1 x 3) + 1 = 4, so 1 1/3 is equivalent to 4/3.
- 2 1/3: (2 x 3) + 1 = 7, so 2 1/3 is equivalent to 7/3.
Multiplying the Fractions
Now that we have improper fractions, we can multiply them together:
(4/3) x (7/3) = (4 x 7) / (3 x 3)
Simplifying the Result
Finally, we simplify the fraction:
28/9
This is the answer in its simplest form. However, we can also represent it as a mixed number:
3 1/9
Therefore, 1 1/3 x 2 1/3 = 28/9 or 3 1/9.