Cubing Fractions: Evaluating 1/8 × 1/8 × 1/8
When working with fractions, it's essential to understand how to multiply them together. In this article, we'll explore the result of multiplying three identical fractions: 1/8 × 1/8 × 1/8.
The Multiplication Rule
To multiply fractions, we need to follow a simple rule:
- Multiply the numerators (numbers on top) together.
- Multiply the denominators (numbers at the bottom) together.
- Write the resulting fraction in its simplest form.
Evaluating 1/8 × 1/8 × 1/8
Let's apply the multiplication rule to our problem:
- Multiply the numerators: 1 × 1 × 1 = 1
- Multiply the denominators: 8 × 8 × 8 = 512
- Write the resulting fraction: 1/512
So, the result of multiplying 1/8 × 1/8 × 1/8 is 1/512.
Conclusion
In this article, we've seen how to multiply three identical fractions together. By following the multiplication rule, we arrived at the result: 1/8 × 1/8 × 1/8 = 1/512. This understanding is crucial in various mathematical operations, and it's essential to grasp this concept for more advanced calculations.