Easily convert any fraction to its decimal form with our free Fraction to Decimal Calculator. Simply enter your fraction, and get accurate results instantly. This tool is perfect for students solving math problems, teachers explaining concepts, and professionals in finance, engineering, or cooking who need quick conversions. No manual calculations are needed – the calculator does all the work for you.
Simply enter a fraction and click "convert" to get its decimal form with a step-by-step solution.
How to Use the Fraction to Decimal Calculator
Using the calculator is very easy. Just follow these steps:
- Enter the numerator (top number of the fraction).
- Enter the denominator (bottom number of the fraction).
- Click the “Calculate” button.
The calculator will show the decimal answer. It will also provide you with a step-by-step explanation of how the fraction was converted.
For instance, to convert 7/8 to decimal, simply enter 7 in the numerator and 8 in the denominator, and click the “calculate” button. The results will be as shown in Figure 1.
How to Convert a Fraction to Decimal Manually
You can convert fractions to decimals using long division. This means dividing the numerator (top number) by the denominator (bottom number). Here is how it works:
- Write the fraction as a division problem.
- Divide the numerator by the denominator using long division.
- Write the result as a decimal.
Here are some examples:
Example 1: Convert 3/4 to a decimal
To convert 3/4 to a decimal, you need to use the long division as follows:
Hence, 3/4 to decimal is 0.75
Example 2. Convert 7/8 to a decimal
You can easily convert 7/8 to a decimal using the long division formula as shown below:
Thus, 7/8 to a decimal is 0.875
Common Fractions and Their Decimal Equivalents
Many fractions are used so often that it helps to remember their decimal forms. Below is a table of some of the most common fractions and their decimal equivalents. This makes it easier to solve problems quickly without doing the division every time.
| Fraction | Decimal Equivalent | Notes |
|---|---|---|
| 1/2 | 0.5 | Exact |
| 1/3 | 0.333… | Repeating decimal |
| 2/3 | 0.666… | Repeating decimal |
| 1/4 | 0.25 | Exact |
| 3/4 | 0.75 | Exact |
| 1/5 | 0.2 | Exact |
| 2/5 | 0.4 | Exact |
| 3/5 | 0.6 | Exact |
| 4/5 | 0.8 | Exact |
| 1/6 | 0.166… | Repeating decimal |
| 5/6 | 0.833… | Repeating decimal |
| 1/8 | 0.125 | Exact |
| 3/8 | 0.375 | Exact |
| 5/8 | 0.625 | Exact |
| 7/8 | 0.875 | Exact |
| 1/10 | 0.1 | Exact |
| 9/10 | 0.9 | Exact |
Want to convert decimals back to fractions? Use our free Decimal to Fraction Calculator to get accurate results instantly.
Frequently Asked Questions
You can divide the numerator (top number) by the denominator (bottom number) using long division. For example, 3 ÷ 4 = 0.75. If you want to save time, you can use an online calculator for instant results.
Some fractions cannot be expressed as a finite decimal. For example, 1/3 becomes 0.333… because the division never ends evenly. These are called repeating decimals.
The fraction 7/8 equals 0.875 as a decimal. You can find this by dividing 7 by 8 or using a calculator.
Yes. Improper fractions, where the numerator is larger than the denominator (like 9/4), can be converted to decimals. In this case, 9 ÷ 4 = 2.25.
No. You can divide any fraction directly, whether it is simplified or not. For example, 4/8 will still give 0.5, just like 1/2.
These conversions are common in school math, engineering, finance, construction, and even cooking when measurements are given as fractions but need to be applied in decimals.