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

  1. 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.

  2. 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.

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