What is 8/9 in decimal form?
Understand the Problem
The question is asking for the decimal representation of the fraction 8/9. To solve this, we need to divide the numerator (8) by the denominator (9).
Answer
0.888888... or 0.\overline{8}
Answer for screen readers
The final answer is 0.888888... or 0.\overline{8}
Steps to Solve
- Set up the Division Problem
To convert \(\frac{8}{9}\) to a decimal, set up the division as \ 8 \div 9 \.
- Perform the Division
Divide 8 by 9. Add a decimal point and zeros to the dividend as necessary:
$$ 8.000000 \div 9 $$
- Calculate the Quotient
The division results in a repeating decimal:
$$ 8.000000 \div 9 = 0.888888... $$
- Write the Answer
Recognize that the decimal repeats, and represent it as:
$$ 0.\overline{8} $$
The final answer is 0.888888... or 0.\overline{8}
More Information
Fractions like 8/9 result in repeating decimals because 9 is a factor of 10 minus 1.
Tips
A common mistake is stopping the division too soon. Notice the repeating pattern.
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