Fraction to Decimal Converter
Convert fractions to decimals and percentages
Common Fractions to Decimals
How to Convert
Formula
Step-by-Step Example
Convert 3/4 to decimal:
- Divide numerator by denominator: 3 ÷ 4
- Perform the division: 3 ÷ 4 = 0.75
- Result: 3/4 = 0.75
- As percentage: 0.75 × 100 = 75%
Repeating vs Terminating Decimals
Terminating Decimals
Decimals that end after a finite number of digits.
Repeating Decimals
Decimals where digits repeat infinitely.
Practical Applications
📊 Data & Statistics
- • Converting survey results
- • Statistical analysis
- • Probability calculations
- • Data reporting
💰 Finance
- • Interest rate calculations
- • Stock price movements
- • Currency conversions
- • Financial ratios
🔬 Science
- • Measurement conversions
- • Chemical concentrations
- • Scientific notation
- • Lab calculations
🍳 Cooking
- • Recipe scaling
- • Ingredient measurements
- • Portion calculations
- • Nutritional values
How to Use This Calculator
Enter Your Values
Input the required values in the calculator fields above. Make sure all inputs are valid numbers.
Click Calculate
Press the "Calculate" button to perform the calculation and see your results.
Review Results
Review the calculated results displayed below. Use these values for your needs.
Formula
Decimal = Numerator ÷ Denominator
Percentage = Decimal × 100
Example: Convert 3/4 to decimal
Decimal = 3 ÷ 4 = 0.75
Percentage = 0.75 × 100 = 75%
For repeating decimals like 1/3: Decimal = 0.333... (3 repeats infinitely)
About Fraction To Decimal Converter Calculator
The Fraction To Decimal Converter Calculator converts fractions to decimal form instantly. It calculates decimal values, percentages, and identifies repeating decimals. Simply enter the numerator and denominator, and get the decimal equivalent.
When to Use This Calculator
- Quick Calculations: Get instant results without manual computation
- Accuracy: Ensure precise calculations every time
- Planning: Use for project planning and estimation
- Verification: Double-check your manual calculations
Why Use Our Calculator?
- ✅ Instant Results: Get accurate calculations immediately
- ✅ Easy to Use: Simple interface for all skill levels
- ✅ 100% Free: No registration or payment required
- ✅ Mobile Friendly: Works on all devices
- ✅ Accurate: Precise mathematical calculations
Tips for Best Results
- Double-Check Inputs: Verify all values before calculating
- Use Valid Numbers: Ensure inputs are valid numbers
- Review Results: Check results for reasonableness
- Clear and Retry: Clear inputs if you need to recalculate
Frequently Asked Questions
How do I convert a fraction to a decimal without a calculator?
Perform long division: divide the numerator by the denominator. For 3/4: 3.00 ÷ 4 = 0.75. Add zeros after the decimal as needed.
What does a repeating decimal mean?
A repeating decimal has digits that repeat forever. For example, 1/3 = 0.333... where 3 repeats infinitely. Shown with a bar over repeating digits: 0.3̄
Can all fractions be converted to decimals?
Yes! Every fraction can be converted to either a terminating decimal (ends) or a repeating decimal (continues forever with repeating pattern).
Why do some fractions give repeating decimals?
If the denominator has prime factors other than 2 or 5, the decimal will repeat. Example: 1/3 repeats because 3 is not 2 or 5. But 1/8 = 0.125 (terminates) because 8 = 2³.
How do I convert the decimal back to a fraction?
For 0.75: write as 75/100, then simplify by dividing both by 25 = 3/4. For repeating decimals, use algebraic methods or lookup tables.