What is 8/3 as a decimal?
Understand the Problem
The question is asking for the decimal representation of the fraction 8/3. To solve this, we will divide 8 by 3, which will convert this fraction into a decimal format.
Answer
2.6666...
Answer for screen readers
The final answer is 2.6666...
Steps to Solve
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Divide the numerator by the denominator
To convert the fraction to a decimal, divide 8 by 3.
$$ 8 \div 3 = 2.6666\ldots $$
This means 8 divided by 3 is 2 with a repeating 6.
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Express the repeating decimal
Represent the repeating part of the decimal. A common way to express a repeating decimal is using a vinculum (a bar over the repeating digits).
$$ 8 \div 3 = 2.\overline{6} $$
The final answer is 2.6666...
More Information
Repeating decimals have a pattern that repeats infinitely. The fraction 8/3 can also be written as 2.\overline{6}
Tips
A common mistake is to round off the repeating decimal too soon, which leads to an incorrect answer. Always represent the repeating part using a bar or dots to indicate it continues indefinitely.
