Cubing a Fraction: 1/13 x 1/13 x 1/13 as a Fraction
When working with fractions, it's essential to understand how to multiply them correctly. In this case, we'll explore the result of cubing the fraction 1/13, which means multiplying it by itself three times. Let's dive in and find out the result as a fraction.
The Original Fraction: 1/13
The original fraction is 1/13, which means we have one part out of a total of 13 equal parts.
Cubing the Fraction: 1/13 x 1/13 x 1/13
To cube the fraction, we multiply it by itself three times:
(1/13) × (1/13) × (1/13) = ?
When multiplying fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers at the bottom), and then simplify the result.
Multiplying the Numerators and Denominators
Numerators: 1 × 1 × 1 = 1 Denominators: 13 × 13 × 13 = 2197
The Result as a Fraction
Now, let's put the results together:
(1/13) × (1/13) × (1/13) = 1/2197
Therefore, the result of cubing the fraction 1/13 is 1/2197.
I hope this helps!