Decimal to Fraction Calculator
Convert decimals to fractions instantly
How to Convert Decimal to Fraction
Count Decimal Places
Count how many digits are after the decimal point.
Write as Fraction
Put the decimal over 1 followed by zeros equal to decimal places.
Simplify
Divide numerator and denominator by their GCD to simplify.
Examples
Example 1: Convert 0.75 to a fraction
Step 1: 2 decimal places
Step 2: 75/100
Step 3: Simplify by GCD(75,100) = 25
= 3/4
Example 2: Convert 0.5 to a fraction
Step 1: 1 decimal place
Step 2: 5/10
Step 3: Simplify by GCD(5,10) = 5
= 1/2
Example 3: Convert 2.25 to a fraction
Step 1: 2 decimal places
Step 2: 225/100
Step 3: Simplify by GCD(225,100) = 25
= 9/4
= 2 1/4 (as mixed number)
Example 4: Convert 0.333 to a fraction
Step 1: 3 decimal places
Step 2: 333/1000
Step 3: Already in simplest form
= 333/1000 (approximately 1/3)
Common Decimal to Fraction Conversions
0.5
1/2
0.25
1/4
0.75
3/4
0.2
1/5
0.4
2/5
0.6
3/5
0.8
4/5
0.333...
1/3
0.666...
2/3
0.125
1/8
0.375
3/8
0.625
5/8
About Decimal to Fraction Conversion
Converting decimals to fractions is the process of expressing a decimal number as a ratio of two integers. This is useful in many mathematical contexts where fractions are preferred or required.
Types of Decimals
- Terminating Decimals: End after a finite number of digits (0.5, 0.75, 0.125)
- Repeating Decimals: Have digits that repeat infinitely (0.333..., 0.142857142857...)
- Non-Repeating Decimals: Irrational numbers that cannot be expressed as fractions (π, √2)
Applications
- Cooking: Recipe measurements (0.5 cups = 1/2 cup)
- Construction: Precise measurements in fractions of inches
- Mathematics: Exact representations, simplifying expressions
- Finance: Stock prices, interest calculations
- Science: Ratios and proportions
How to Use This Calculator
1Enter Your Values
Input the required values in the calculator fields above. Make sure all inputs are valid numbers.
2Click Calculate
Press the "Calculate" button to perform the calculation and see your results.
3Review Results
Review the calculated results displayed below. Use these values for your needs.
Formula
Formula will be calculated based on the inputs provided.
Example:
Example: Enter your values above and click Calculate to see the formula in action.
About Decimal To Fraction Calculator
The Decimal To Fraction Calculator is a useful tool for calculating decimal to fraction values. This calculator helps you quickly and accurately determine the results you need for your calculations.
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 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
Formula will be calculated based on the inputs provided.
Example:
Example: Enter your values above and click Calculate to see the formula in action.
About Decimal To Fraction Calculator
The Decimal To Fraction Calculator is a useful tool for calculating decimal to fraction values. This calculator helps you quickly and accurately determine the results you need for your calculations.
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
How do I convert repeating decimals to fractions?
For repeating decimals like 0.333..., use algebra: Let x = 0.333..., then 10x = 3.333..., so 10x - x = 3, giving x = 3/9 = 1/3.
Why doesn't 0.333 exactly equal 1/3?
0.333 is an approximation. The exact value 1/3 = 0.333... (repeating infinitely). When you convert 0.333 to a fraction, you get 333/1000, which is close but not exact.
Can all decimals be converted to fractions?
Only rational numbers (terminating or repeating decimals) can be exactly converted to fractions. Irrational numbers like π or √2 cannot.
What is a mixed number vs improper fraction?
A mixed number combines a whole number and a fraction (2 1/4). An improper fraction has a numerator larger than the denominator (9/4). They represent the same value.
How do I simplify fractions?
Divide both numerator and denominator by their Greatest Common Divisor (GCD). For example, 75/100 ÷ 25 = 3/4.