Decimal to Fraction Calculator
Convert any decimal to a fraction instantly with our free decimal to fraction calculator. Get simplified fractions, step-by-step solutions, and handle repeating decimals like 0.333... with ease. Perfect for homework, cooking measurements, woodworking, and everyday math. Works with all decimal numbers including 0.25, 0.5, 0.75, 0.125, 0.375, 0.625, 0.875 and more. Trusted by over 50 million students and professionals worldwide.
How to Convert Decimal to Fraction
Converting a decimal to a fraction takes just 3 simple steps:
- Write as fraction over 1: Put the decimal over 1 (e.g., 0.75/1)
- Multiply to remove decimals: Multiply top and bottom by 10 for each decimal place (0.75 × 100 = 75/100)
- Simplify: Divide both by the GCF to get the simplest form (75/100 = 3/4)
0.5 = 1/2 | 0.25 = 1/4 | 0.75 = 3/4 | 0.125 = 1/8
📝 Step-by-Step Solution
💡 Quick Examples (Click to convert)
💡 Quick Examples
📝 Step-by-Step Solution
💡 Common Repeating Decimals
📋 Decimal to Fraction Conversion Chart
Quick reference table for the most commonly searched decimal to fraction conversions:
| Decimal | Fraction | Simplified | Percent |
|---|---|---|---|
| 0.1 | 1/10 | 1/10 | 10% |
| 0.125 | 125/1000 | 1/8 | 12.5% |
| 0.2 | 2/10 | 1/5 | 20% |
| 0.25 | 25/100 | 1/4 | 25% |
| 0.3 | 3/10 | 3/10 | 30% |
| 0.333... | — | 1/3 | 33.33...% |
| 0.375 | 375/1000 | 3/8 | 37.5% |
| 0.4 | 4/10 | 2/5 | 40% |
| 0.5 | 5/10 | 1/2 | 50% |
| 0.6 | 6/10 | 3/5 | 60% |
| 0.625 | 625/1000 | 5/8 | 62.5% |
| 0.666... | — | 2/3 | 66.66...% |
| 0.75 | 75/100 | 3/4 | 75% |
| 0.8 | 8/10 | 4/5 | 80% |
| 0.875 | 875/1000 | 7/8 | 87.5% |
| 0.9 | 9/10 | 9/10 | 90% |
| 1.0 | 10/10 | 1 | 100% |
📏 Sixteenths Conversion Chart (For Construction & Woodworking)
Essential for tape measures, lumber dimensions, and precision work:
🎯 Understanding Decimal Place Values
Each position after the decimal point represents a power of 10:
÷10
÷100
÷1000
0.75 has 2 decimal places → Divide by 100 → 75/100 = 3/4
0.125 has 3 decimal places → Divide by 1000 → 125/1000 = 1/8
🔍 Quick Answers: Common Decimal to Fraction Questions
What is 0.75 as a fraction?
0.75 as a fraction is 3/4 (three-fourths). To convert: 0.75 = 75/100. The GCF of 75 and 100 is 25. Divide both by 25: 75÷25 / 100÷25 = 3/4.
What is 0.5 as a fraction?
0.5 as a fraction is 1/2 (one-half). To convert: 0.5 = 5/10. The GCF of 5 and 10 is 5. Divide both by 5: 5÷5 / 10÷5 = 1/2.
What is 0.25 as a fraction?
0.25 as a fraction is 1/4 (one-quarter). To convert: 0.25 = 25/100. The GCF of 25 and 100 is 25. Divide both by 25: 25÷25 / 100÷25 = 1/4.
What is 0.125 as a fraction?
0.125 as a fraction is 1/8 (one-eighth). To convert: 0.125 = 125/1000. The GCF is 125. Divide both by 125: 125÷125 / 1000÷125 = 1/8.
What is 0.333... as a fraction?
0.333... (repeating) as a fraction is 1/3. For repeating decimals: Let x = 0.333..., then 10x = 3.333..., subtract: 9x = 3, so x = 3/9 = 1/3.
What is 0.625 as a fraction?
0.625 as a fraction is 5/8 (five-eighths). To convert: 0.625 = 625/1000. The GCF is 125. Divide both by 125: 625÷125 / 1000÷125 = 5/8.
What is 0.2 as a fraction?
0.2 as a fraction is 1/5 (one-fifth). To convert: 0.2 = 2/10. The GCF of 2 and 10 is 2. Divide both by 2: 2÷2 / 10÷2 = 1/5.
What is 0.4 as a fraction?
0.4 as a fraction is 2/5 (two-fifths). To convert: 0.4 = 4/10. The GCF of 4 and 10 is 2. Divide both by 2: 4÷2 / 10÷2 = 2/5.
What is 0.6 as a fraction?
0.6 as a fraction is 3/5 (three-fifths). To convert: 0.6 = 6/10. The GCF of 6 and 10 is 2. Divide both by 2: 6÷2 / 10÷2 = 3/5.
What is 0.8 as a fraction?
0.8 as a fraction is 4/5 (four-fifths). To convert: 0.8 = 8/10. The GCF of 8 and 10 is 2. Divide both by 2: 8÷2 / 10÷2 = 4/5.
What is 0.1875 as a fraction?
0.1875 as a fraction is 3/16 (three-sixteenths). Common in construction: 0.1875 = 1875/10000. Simplified: 3/16 (3/16 inch on a tape measure).
How do I convert a negative decimal to fraction?
Keep the negative sign and convert the positive part. Example: -0.75 = -3/4. Simply convert 0.75 to 3/4, then add the negative sign.
📐 Eighths Conversion Chart (Commonly Used)
The eighths (1/8, 2/8, 3/8, etc.) are commonly used in measurements, cooking, and construction:
🌍 Real-World Uses for Decimal to Fraction Conversion
Cooking & Baking
Many recipes use fractional measurements. Convert 0.75 cups to ¾ cup, or 0.5 tablespoon to ½ tablespoon for easier measuring.
Woodworking & Construction
Convert decimal inch measurements to fractions for tape measures and tools marked in fractions.
Finance & Business
Stock prices, interest rates, and financial calculations often need decimal-to-fraction conversion.
Education & Homework
Students often need to convert decimals to fractions for math assignments and standardized tests.
📚 Complete Guide: How to Convert Decimal to Fraction
Method 1: The Standard Method (For Terminating Decimals)
This is the most common method for converting regular decimals that end (like 0.75, 0.5, or 0.125).
Where n = number of decimal places
✓ Example: Convert 0.625 to a fraction
Step 1: Count decimal places → 3 places
Step 2: Multiply by 1000/1000 → 625/1000
Step 3: Find GCF of 625 and 1000 → GCF = 125
Step 4: Divide both by 125 → 625÷125 / 1000÷125 = 5/8
Method 2: For Repeating Decimals
Repeating decimals (like 0.333... or 0.666...) require an algebraic approach.
For two repeating digits: 0.d̅e̅ = de/99
For three repeating digits: 0.d̅e̅f̅ = def/999
✓ Example: Convert 0.666... to a fraction
Step 1: Let x = 0.666...
Step 2: Multiply by 10: 10x = 6.666...
Step 3: Subtract: 10x - x = 6.666... - 0.666...
Step 4: Simplify: 9x = 6
Step 5: Solve: x = 6/9 = 2/3
Method 3: For Decimals Greater Than 1
When the decimal is greater than 1 (like 2.5 or 3.75), separate the whole number and convert the decimal part.
✓ Example: Convert 2.75 to a fraction
Step 1: Separate: 2 + 0.75
Step 2: Convert 0.75 = 75/100 = 3/4
Step 3: Combine: 2 + 3/4 = 2¾ (mixed) or 11/4 (improper)
❓ Frequently Asked Questions
Follow these 3 steps: 1) Write the decimal over 1 (e.g., 0.75/1). 2) Multiply both numerator and denominator by 10 for each decimal place (0.75 has 2 places, so multiply by 100 to get 75/100). 3) Simplify by finding the GCF and dividing both parts (75/100 = 3/4).
0.375 as a fraction is 3/8. Here's how: 0.375 = 375/1000. The GCF of 375 and 1000 is 125. Dividing both by 125 gives 3/8.
0.875 as a fraction is 7/8. Here's how: 0.875 = 875/1000. The GCF of 875 and 1000 is 125. Dividing both by 125 gives 7/8.
0.333... equals 1/3. For repeating decimals, use algebra: Let x = 0.333..., multiply by 10: 10x = 3.333..., subtract: 9x = 3, solve: x = 3/9 = 1/3.
All terminating decimals (like 0.5, 0.75) and repeating decimals (like 0.333..., 0.142857...) can be converted to fractions. However, irrational numbers like π (3.14159...) or √2 (1.41421...) cannot be expressed as exact fractions because their decimal expansions never repeat or terminate.
1.5 as a fraction is 3/2 (improper) or 1½ (mixed number). To convert: 1.5 = 15/10 = 3/2.
2.25 as a fraction is 9/4 (improper) or 2¼ (mixed number). To convert: 2.25 = 225/100 = 9/4.
Yes! This decimal to fraction calculator is 100% free with no signup required. Use it unlimited times on any device — desktop, tablet, or mobile. All calculations happen instantly in your browser.
This calculator and content has been reviewed for mathematical accuracy by our team of educators and math specialists.
Last reviewed and updated: February 15, 2026
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