Multiplying Mixed Numbers: 1 1/3 x 2 1/3
This article will guide you through the process of multiplying the mixed numbers 1 1/3 and 2 1/3.
Understanding Mixed Numbers
A mixed number combines a whole number and a fraction. For example, 1 1/3 represents one whole and onethird.
Converting to Improper Fractions
Before multiplying mixed numbers, it's easier to convert them into improper fractions.

1 1/3: To convert, multiply the whole number (1) by the denominator (3), and add the numerator (1). Keep the same denominator. This gives us 4/3.

2 1/3: Similarly, multiply the whole number (2) by the denominator (3), add the numerator (1), and keep the same denominator. This gives us 7/3.
Multiplying Fractions
Now that we have improper fractions, we can multiply them:
(4/3) x (7/3) = (4 x 7) / (3 x 3) = 28/9
Converting Back to Mixed Number
The answer, 28/9, is an improper fraction. To convert it back to a mixed number, divide the numerator (28) by the denominator (9).
28 divided by 9 is 3 with a remainder of 1. This means the mixed number is 3 1/9.
Conclusion
Therefore, 1 1/3 multiplied by 2 1/3 equals 3 1/9.