5/12 as a decimal

Understand the Problem

The question is asking to convert the fraction 5/12 into its decimal equivalent. To do this, we will divide 5 by 12.

Answer

0.416 or 0.41666...
Answer for screen readers

The final answer is approximately 0.416 or exactly 0.41666...

Steps to Solve

  1. Set up the division problem

Set up the fraction as a division problem: $$5 \div 12$$

  1. Perform the division

To convert 5/12 to a decimal, divide 5 by 12. This will require long division:

$$5.000 \div 12 \approx 0.416$$

  1. Interpret the result

The result of the division, up to three decimal places, is approximately 0.416. This can be expressed as 0.41666... with the 6 repeating indefinitely.

The final answer is approximately 0.416 or exactly 0.41666...

More Information

Decimals are another way to represent fractions. Some fractions convert to finite decimals, while others convert to repeating decimals. 5/12 is an example of a repeating decimal.

Tips

A common mistake is to stop the division process too early. Make sure to recognize when a repeating pattern begins if the decimal does not terminate.

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