Fraction to Decimal Calculator
Enter the fraction you want to convert to a decimal.
Table of Contents
- How to convert a fraction to a decimal?
- Examples of fraction to decimal conversions
- Fraction to decimal conversion table
- Frequently Asked Questions
How to convert a fraction to a decimal?
To convert a fraction to a decimal, the numerator of the fraction (the top number) is divided by the denominator (the bottom number). The result of this division is the decimal representation of the fraction.
Examples of fraction to decimal conversions
Example 1
For example, to convert the fraction 3/4, follow these steps:
- Divide the numerator 3 by the denominator 4.
- The result of the division is 0.75, which is the decimal representation of the fraction 3/4.
Example 2
To convert the fraction 5/8, follow these steps:
- Divide the numerator 5 by the denominator 8.
- The result of the division is 0.625, which is the decimal representation of the fraction 5/8.
This simple process of dividing the numerator by the denominator is the key to converting a fraction to a decimal.
Fraction to decimal conversion table
| Fraction | Decimal |
|---|---|
| 1/2 | 0.5 |
| 1/3 | 0.33333 |
| 1/4 | 0.25 |
| 1/5 | 0.2 |
| 1/6 | 0.16667 |
| 1/8 | 0.125 |
| 1/9 | 0.11111 |
| 1/10 | 0.1 |
| 2/3 | 0.66667 |
| 2/5 | 0.4 |
| 3/4 | 0.75 |
| 3/5 | 0.6 |
| 3/8 | 0.375 |
| 4/5 | 0.8 |
| 5/6 | 0.83333 |
| 5/8 | 0.625 |
| 7/8 | 0.875 |
Frequently Asked Questions
How do you convert a fraction to a decimal?
To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.
What formula is used to convert a fraction to a decimal?
The formula is simple: Decimal = Numerator ÷ Denominator.
Can all fractions be converted to exact decimals?
No. Some fractions convert to exact decimals, while others result in repeating or infinite decimals. For example, 1/3 = 0.333...