Fraction to Decimal Calculator
Convert a fraction to a decimal value using the fraction to decimal calculator by entering your fraction below. You might also be interested in our decimal to fraction calculator or our fraction to percent calculator for similar conversions.
Solution:
How to Convert Fractions to Decimal
A number can be expressed as a fraction, decimal, or percentage value and sometimes it’s necessary to convert between the different forms to represent a number differently. There are several methods to convert a fraction to a decimal, try one of the methods outlined below.
Method 1: Convert a Fraction to Decimal Using a Calculator
The simplest method to transform a fraction number to a decimal value is to simply divide the numerator by the denominator to get the decimal value. The numerator is the top number and the denominator is the bottom.
For example, let’s convert the fraction 14 to a decimal using the division method.
14 = 1 ÷ 4 = 0.25
Thus, the decimal value of 14 is 0.25
Method 2: Convert a Fraction to Decimal Using Long Division
Long division offers another way to convert to decimal form. Start by identifying the dividend and the divisor, then use those values in long division. The fraction numerator will be the dividend and the denominator will be the divisor.
Next, represent the dividend and divisor in long division form. It will likely be necessary to add a decimal and zeros if the dividend is smaller than the divisor.
Finally, solve the long division problem to complete the conversion from fraction to decimal.
Method 3: Convert a Fraction to Decimal by Simplifying
An alternate method to convert a fraction to a decimal number is to simplify the fraction to put the numerator over 1. This requires a few steps. First, multiply the denominator to get to 100. To do this, try dividing 100 by the denominator to find the multiple, then multiply both the numerator and denominator by the multiple.
The final step is to move the decimal place on the new numerator to the left two places to change the fraction to its decimal value.
For example, we can convert the fraction 14 to a decimal value using this method.
Start by finding the multiple needed to multiply the denominator by to get 100.
100 = 4 × 25
Thus, the multiple is 25.
Now, multiple the numerator by the multiple (25).
1 × 25 = 25
Thus, the fraction 14 can also be represented as 25100.
14 = 25100
Finally, move the numerator’s decimal place to the left two places to get the decimal value.
25.0 -> 0.25
Thus the decimal value of 14 is 0.25.
Decimal Equivalents for Common Fractions
Another way to find the decimal value for a fraction is to consult a conversion table, such as the one below which shows the decimal values of a few common fractions.
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.333 |
| 2/3 | 0.666 |
| 1/4 | 0.25 |
| 3/4 | 0.75 |
| 1/5 | 0.2 |
| 2/5 | 0.4 |
| 3/5 | 0.6 |
| 4/5 | 0.8 |
| 1/6 | 0.1666 |
| 5/6 | 0.8333 |
| 1/8 | 0.125 |
| 3/8 | 0.375 |
| 5/8 | 0.625 |
| 7/8 | 0.875 |
| 1/9 | 0.111 |
| 2/9 | 0.222 |
| 4/9 | 0.444 |
| 5/9 | 0.555 |
| 7/9 | 0.777 |
| 8/9 | 0.888 |
| 1/10 | 0.1 |
| 1/12 | 0.08333 |
| 1/16 | 0.0625 |
See more fraction decimal equivalents.
