Decimal to Fraction Converter
A handy tool that allows you to effortlessly convert decimal numbers into fractions. With this converter, you can quickly and accurately convert any given decimal value into its equivalent fraction representation. Whether you're dealing with recurring decimals or non-recurring decimals, this converter will provide you with the precise fractional form.
What is Decimal to Fraction Converter
A Decimal to Fraction Converter is a tool or calculator that takes a decimal number as input and converts it into its equivalent fraction representation.
Decimal numbers are numbers expressed in the base-10 numerical system, which includes digits from 0 to 9 and a decimal point. On the other hand, fractions represent a part of a whole and consist of a numerator (the top number) and a denominator (the bottom number), separated by a horizontal line.
To use a Decimal to Fraction Converter, you input a decimal number, and it provides you with the simplified fraction that is equivalent to the decimal.
For example, if you input the decimal number "0.75," the converter will generate the fraction "3/4" as the equivalent representation.
There are many online tools and calculators available that offer Decimal to Fraction conversion capabilities, making it convenient to perform these conversions quickly and accurately.
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 |
