Fraction to Decimal Converter
Simplify the process of converting fractions to decimal numbers with our efficient Fraction to Decimal Converter. This tool allows you to effortlessly convert any fraction into its equivalent decimal representation. Simply input the numerator and denominator of the fraction, and our converter will instantly generate the decimal value.
What is Fraction to Decimal Converter
To convert a fraction to its decimal equivalent, you can follow these steps:
- Divide the numerator of the fraction by the denominator.
- Simplify or round the decimal value if necessary.
Here's an example:
Let's say you have the fraction 3/4 and want to convert it to a decimal.
- Divide the numerator (3) by the denominator (4): Decimal value = 3 / 4 = 0.75
So, the fraction 3/4 is equal to 0.75 in decimal form.
If you need to convert more complex fractions or want a convenient tool for converting fractions to decimals, you can use online fraction to decimal converters available on various websites. Just search for "fraction to decimal converter" to find one that suits your needs.
How to convert fraction to decimal
Method #1
Expand the denominator to be a power of 10.
Example #1
| 3 | = | 3ร2 | = | 6 | = | 0.6 |
| 5 | 5ร2 | 10 |
Example #2
| 3 | = | 3ร25 | = | 75 | = | 0.75 |
| 4 | 4ร25 | 100 |
Example #3
| 5 | = | 5ร125 | = | 625 | = | 0.625 |
| 8 | 8ร125 | 1000 |
Method #2
- Use calculator to divide the fraction's numerator by the denominator.
- For mixed numbers add the integer.
Example #1
Example #2
Method #3
Use long division to divide the fraction's numerator by the fraction's denominator.
Example
Calculate 3/4 by long division of 3 divided by 4:
| 0.75 | |
| 4 | 3 |
| 0 | |
| 30 | |
| 28 | |
| 20 | |
| 20 | |
| 0 |
Fraction to decimal conversion table
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.33333333 |
| 2/3 | 0.66666667 |
| 1/4 | 0.25 |
| 2/4 | 0.5 |
| 3/4 | 0.75 |
| 1/5 | 0.2 |
| 2/5 | 0.4 |
| 3/5 | 0.6 |
| 4/5 | 0.8 |
| 1/6 | 0.16666667 |
| 2/6 | 0.33333333 |
| 3/6 | 0.5 |
| 4/6 | 0.66666667 |
| 5/6 | 0.83333333 |
| 1/7 | 0.14285714 |
| 2/7 | 0.28571429 |
| 3/7 | 0.42857143 |
| 4/7 | 0.57142858 |
| 5/7 | 0.71428571 |
| 6/7 | 0.85714286 |
| 1/8 | 0.125 |
| 2/8 | 0.25 |
| 3/8 | 0.375 |
| 4/8 | 0.5 |
| 5/8 | 0.625 |
| 6/8 | 0.75 |
| 7/8 | 0.875 |
| 1/9 | 0.11111111 |
| 2/9 | 0.22222222 |
| 3/9 | 0.33333333 |
| 4/9 | 0.44444444 |
| 5/9 | 0.55555556 |
| 6/9 | 0.66666667 |
| 7/9 | 0.77777778 |
| 8/9 | 0.88888889 |
| 1/10 | 0.1 |
| 2/10 | 0.2 |
| 3/10 | 0.3 |
| 4/10 | 0.4 |
| 5/10 | 0.5 |
| 6/10 | 0.6 |
| 7/10 | 0.7 |
| 8/10 | 0.8 |
| 9/10 | 0.9 |
| 1/11 | 0.09090909 |
| 2/11 | 0.18181818 |
| 3/11 | 0.27272727 |
| 4/11 | 0.36363636 |
| 5/11 | 0.45454545 |
| 6/11 | 0.54545454 |
| 7/11 | 0.63636363 |
| 8/11 | 0.72727272 |
| 9/11 | 0.81818181 |
| 10/11 | 0.90909091 |
