Fraction to Decimal Converter
Convert any fraction to its decimal equivalent quickly and accurately. Perfect for math homework, engineering calculations, and everyday conversions.
How it works
What is a Fraction to Decimal Conversion?
A fraction represents a part of a whole, written as numerator/denominator (e.g., 3/4). Converting a fraction to a decimal means expressing that same value as a decimal number (e.g., 0.75).
How to Use the Fraction to Decimal Converter
Enter the numerator (top number) and denominator (bottom number) of your fraction. The converter will instantly show you the decimal equivalent.
Example 1: Simple Fraction
Convert 3/4 to decimal. Enter numerator=3, denominator=4. The result is 0.75.
Example 2: Common Fraction
Convert 5/8 to decimal. Enter numerator=5, denominator=8. The result is 0.625.
Example 3: Whole Number Fraction
Convert 7/2 to decimal. Enter numerator=7, denominator=2. The result is 3.5.
The Formula
The formula for converting a fraction to decimal is simple:
Decimal = Numerator / Denominator
For example, 1/2 = 1 ÷ 2 = 0.5
Common Conversions
Here are some common fraction to decimal conversions:
- 1/2 = 0.5
- 1/4 = 0.25
- 3/4 = 0.75
- 1/3 = 0.333...
- 2/3 = 0.666...
- 1/5 = 0.2
- 1/8 = 0.125
Use Cases
Fraction to decimal conversion is useful in many scenarios:
- Mathematics: Solving equations and performing calculations
- Engineering: Precise measurements and specifications
- Cooking: Converting recipe measurements
- Finance: Calculating interest rates and percentages
- Construction: Measuring materials and dimensions
Important Notes
The denominator cannot be zero, as division by zero is undefined. Both numerator and denominator should be valid numbers. The result may be a repeating decimal (like 1/3 = 0.333...), which our calculator displays with appropriate precision.