Evaluating the Expression: 2 1/3 x 3 1/3 x 1 1/3 as a Fraction
In this article, we will evaluate the expression 2 1/3 x 3 1/3 x 1 1/3 and convert it into a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To evaluate the expression, we need to convert each mixed number to an improper fraction.
- 2 1/3 = (2 × 3) + 1 = 7/3
- 3 1/3 = (3 × 3) + 1 = 10/3
- 1 1/3 = (1 × 3) + 1 = 4/3
Step 2: Multiply the Fractions
Now, we can multiply the improper fractions:
(7/3) × (10/3) × (4/3) = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom):
(7 × 10 × 4) / (3 × 3 × 3) = 280 / 27
Step 3: Simplify the Fraction (if possible)
The resulting fraction is already in its simplest form:
280 / 27
Therefore, the expression 2 1/3 x 3 1/3 x 1 1/3 is equal to the fraction 280/27.
