2 1/4 times 2 1/4 times 2 1/4 as a Fraction
To evaluate the expression "2 1/4 times 2 1/4 times 2 1/4 as a fraction", we need to follow the order of operations (PEMDAS) and multiply the mixed numbers together.
Converting Mixed Numbers to Improper Fractions
First, let's convert each mixed number to an improper fraction:
- 2 1/4 = (2 × 4 + 1) / 4 = 9/4
- 2 1/4 = (2 × 4 + 1) / 4 = 9/4
- 2 1/4 = (2 × 4 + 1) / 4 = 9/4
Multiplying the Fractions
Now, let's multiply the fractions together:
(9/4) × (9/4) × (9/4) = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
(9 × 9 × 9) / (4 × 4 × 4) = 729/64
Simplifying the Fraction
The resulting fraction is 729/64. Since both numbers are divisible by 3, we can simplify the fraction further:
729 ÷ 3 = 243 64 ÷ 3 = 21.33 (but we can't simplify the denominator further, so we'll leave it as 64)
So, the simplified fraction is:
243/64
That's the result of multiplying 2 1/4 times 2 1/4 times 2 1/4 as a fraction!
