Fraction To Decimal Calculator - Mathematical Calculations & Solutions
How Fraction to Decimal Conversion Works
Enter Fraction
Input numerator and denominator
Divide
Perform division: numerator ÷ denominator
Fraction to decimal conversion uses division to find the decimal equivalent. The calculator also simplifies fractions, detects repeating decimals, and provides percentage equivalents for comprehensive analysis.
Common Fraction Examples
Fraction To Decimal Calculator
What
Converts fractions to decimal form using division, with automatic simplification and repeating decimal detection.
Why
Essential for converting between fraction and decimal representations in mathematics, science, and everyday calculations.
Applications
Cooking measurements, financial calculations, academic homework, engineering precision, and statistical analysis.
Fraction to Decimal Conversion Table
| Fraction | Division | Decimal | Percentage |
|---|---|---|---|
| 1/2 | 1 ÷ 2 | 0.5 | 50% |
| 1/4 | 1 ÷ 4 | 0.25 | 25% |
| 1/3 | 1 ÷ 3 | 0.333... (repeating) | 33.33% |
| 3/8 | 3 ÷ 8 | 0.375 | 37.5% |
| 5/6 | 5 ÷ 6 | 0.8333... (repeating) | 83.33% |
Frequently Asked Questions
How do I convert a fraction to decimal?
Enter the numerator (top number) and denominator (bottom number), then divide: numerator ÷ denominator = decimal.
What are repeating decimals?
Repeating decimals occur when division doesn't end evenly, like 1/3 = 0.333... The calculator detects and shows these patterns.
Can I enter negative fractions?
Yes, you can enter negative numerators or denominators. The calculator handles negative fractions and shows the correct decimal result.
What does fraction simplification mean?
Simplification reduces fractions to lowest terms by dividing both numerator and denominator by their greatest common divisor (GCD).
Why do I get percentage results?
Percentages help understand fractions in everyday contexts. The calculator multiplies the decimal by 100 to show the percentage equivalent.
What happens if I enter zero as denominator?
Division by zero is undefined in mathematics. The calculator will show an error message if you enter zero as the denominator.
Can I use this for mixed numbers?
For mixed numbers like 2½, convert to improper fraction first (5/2), then use the calculator to get the decimal (2.5).