What is 8 divided by 11?
Understand the Problem
The question is asking for the result of the division of 8 by 11.
Answer
The result of dividing 8 by 11 is approximately $0.7272...$ or exactly $\frac{8}{11}$.
Answer for screen readers
The result of dividing 8 by 11 is approximately $ 0.7272... $ or exactly $ \frac{8}{11} $.
Steps to Solve
- Identify the division operation
We want to calculate the result of dividing 8 by 11, which can be expressed mathematically as:
$$ \frac{8}{11} $$
- Perform the division
When dividing 8 by 11, we can express this as a decimal. Since 8 is less than 11, the result will be less than 1.
Using long division or a calculator, we find:
$$ 8 \div 11 \approx 0.7272... $$
This indicates that the decimal repeats.
- Express the result clearly
We can also express the result as a fraction or a decimal rounded to a reasonable number of decimal places. The fraction $ \frac{8}{11} $ is already in simplest form, and as a decimal, it can be written as approximately $ 0.73 $ when rounded to two decimal places.
The result of dividing 8 by 11 is approximately $ 0.7272... $ or exactly $ \frac{8}{11} $.
More Information
The decimal representation of $\frac{8}{11}$ is a repeating decimal (0.727272...), which can be further rounded as needed. The fraction $\frac{8}{11}$ cannot be simplified any further, as 8 and 11 share no common factors.
Tips
- A common mistake is forgetting that dividing a smaller number by a larger number results in a decimal less than one. It’s important to recognize that when the numerator is smaller than the denominator, the result will be a fraction less than 1.
- Another mistake is rounding incorrectly; ensure to check how many decimal places to round depending on the context.