Converting a fraction to a decimal means dividing the top number by the bottom number. Some fractions give a clean, short decimal, while others repeat, but the method is the same. This guide explains the division and a few shortcuts for common fractions.
What you'll need
- A calculator or pencil and paper
Step by step
- Identify the partsNote the numerator, which is the top number, and the denominator, which is the bottom number of the fraction.
- Divide top by bottomDivide the numerator by the denominator, since a fraction is really just a division. For example, three-quarters is 3 divided by 4.
- Carry out the divisionWork through the division by hand or with a calculator, adding a decimal point and zeros as needed. Three divided by 4 gives 0.75.
- Handle repeating decimalsIf the division never ends, such as one-third giving 0.333, note the repeating digit and round if a specific number of places is required.
- Round if neededRound the decimal to the number of places you need, for instance rounding 0.6667 to 0.67 for two places.
- Check the resultConfirm the decimal makes sense, since a proper fraction less than one should give a decimal below 1.
Handy tips
- Learn common conversions by heart, such as one-half being 0.5 and one-quarter being 0.25.
- To convert the decimal to a percentage, multiply it by 100.
- If the denominator is 10, 100, or 1000, you can just place the numerator after the decimal point.
FAQ
What is a repeating decimal?
It is a decimal where one or more digits repeat forever, like one-third becoming 0.3333. You usually round it or mark the repeating part with a bar or dots.
How do I convert a mixed number?
Keep the whole number and convert only the fraction part, then add them. For example, two and one-half becomes 2 plus 0.5, which is 2.5.
Can every fraction become an exact decimal?
No. Some, like one-third, produce infinitely repeating decimals. In those cases you round to a suitable number of decimal places.