2 1/4 x 2 1/4 x 2 1/4 as a Fraction
When we encounter a problem like 2 1/4 x 2 1/4 x 2 1/4, it can be a bit tricky to solve. But don't worry, we'll break it down step by step and find the solution as a fraction.
Converting Mixed Numbers to Improper Fractions
First, let's convert the mixed number 2 1/4 to an improper fraction. To do this, we multiply the whole number part (2) by the denominator (4) and then add the numerator (1).
2 1/4 = (2 * 4) + 1 / 4 = 9/4
So, our original problem becomes:
9/4 x 9/4 x 9/4
Multiplying Fractions
Now, let's multiply the fractions. To multiply fractions, we multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom).
(9/4) × (9/4) × (9/4) = (9 × 9 × 9) / (4 × 4 × 4) = 729/64
Simplifying the Fraction
The resulting fraction 729/64 is already in its simplest form. Therefore, we can conclude that:
2 1/4 x 2 1/4 x 2 1/4 = 729/64
And that's the solution!
