17/18 as a decimal
Understand the Problem
The question is asking for the decimal representation of the fraction 17/18. We will divide 17 by 18 to convert it to decimal form.
Answer
$0.9444\overline{4}$
Answer for screen readers
The decimal representation of the fraction $\frac{17}{18}$ is $0.9444\overline{4}$.
Steps to Solve
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Set up the division problem
To convert the fraction $\frac{17}{18}$ into decimal form, we will perform the division of 17 by 18. -
Perform the division
Using long division or a calculator, divide 17 by 18. This gives us:
$$ 17 \div 18 = 0.944444... $$ -
Identify the repeating decimal
The result shows that the digit "4" continues to repeat. We can express this in decimal notation as:
$$ 0.9444\overline{4} $$
where the line above the "4" indicates that this digit repeats indefinitely.
The decimal representation of the fraction $\frac{17}{18}$ is $0.9444\overline{4}$.
More Information
The decimal $0.9444\overline{4}$ indicates that it is approximately 0.94, but it is actually a repeating decimal that continues infinitely. Such decimals often appear when dividing two integers where the denominator does not evenly divide the numerator.
Tips
- Not recognizing repeating decimals: Sometimes, students forget that some decimals repeat and write it as $0.9444$ instead of $0.9444\overline{4}$.
- Forgetting to perform the division correctly: Ensure the correct method of long division or using a calculator to avoid errors in the decimal representation.
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