To calculate the result of 2/3 x 2/3 x 2/3, we need to follow the order of operations, which in this case is simply multiplication since all operations are the same.
Step-by-Step Calculation
We start with the first two fractions: 2⁄3 x 2⁄3.
The formula for multiplying fractions is (numerator1/numerator2) / (denominator1/denominator2), but since we're multiplying, we multiply the numerators together and the denominators together: (2*2)/(3*3) = 4/9.
Next Step in Calculation
Now, we multiply the result by the next fraction, which is also 2⁄3. So, we calculate (4⁄9) * (2⁄3).
Again, following the rule for multiplying fractions, we get (4*2)/(9*3) = 8/27.
| Operation | Result |
|---|---|
| 2/3 x 2/3 | 4/9 |
| (4/9) x 2/3 | 8/27 |
Key Points
- The multiplication of fractions involves multiplying the numerators together and the denominators together.
- The result of 2/3 x 2/3 is 4/9.
- Multiplying 4/9 by 2/3 gives us 8/27.
- This process can be applied to any multiplication of fractions by following the same rules.
- Understanding how to multiply fractions is essential for more complex mathematical operations and real-world applications.
In conclusion, the calculation result of 2/3 x 2/3 x 2/3 is 8/27, demonstrating the application of fraction multiplication rules in a step-by-step manner.
What is the formula for multiplying fractions?
+The formula for multiplying fractions is (numerator1 * numerator2) / (denominator1 * denominator2), where numerator1 and numerator2 are the numbers on top of the fractions, and denominator1 and denominator2 are the numbers on the bottom.
How do you multiply 2⁄3 by 2⁄3?
+To multiply 2⁄3 by 2⁄3, you multiply the numerators (2*2) and the denominators (3*3), resulting in 4⁄9.
What is the final result of 2⁄3 x 2⁄3 x 2⁄3?
+The final result of 2⁄3 x 2⁄3 x 2⁄3 is 8⁄27, calculated by first multiplying 2⁄3 by 2⁄3 to get 4⁄9, and then multiplying 4⁄9 by 2⁄3.
