Decimal to Fraction Calculator
Convert any decimal to a fraction in simplest form
Common Decimal to Fraction Conversions
0.125
= 1/8
0.25
= 1/4
0.333
= 1/3
0.375
= 3/8
0.5
= 1/2
0.625
= 5/8
0.667
= 2/3
0.75
= 3/4
0.875
= 7/8
1
= 1/1
1.25
= 1 1/4
1.5
= 1 1/2
About This Calculator
Decimal to Fraction Calculator
Convert any decimal number to a fraction in simplest form with our free online calculator. Get improper fractions, mixed numbers, and percentage equivalents instantly.
How to Convert Decimal to Fraction
Step 1: Write the decimal as a fraction with a power of 10 as denominator
Step 2: Simplify the fraction by dividing numerator and denominator by their GCD
Example: Convert 0.75 to a Fraction
Step 1: 0.75 = 75/100
Step 2: GCD of 75 and 100 is 25
Step 3: 75÷25 / 100÷25 = 3/4
Result: 3/4
Example: Convert 2.5 to a Mixed Number
Step 1: 2.5 = 25/10 = 5/2 (improper)
Step 2: 5÷2 = 2 remainder 1
Result: 2 1/2 (mixed number)
Common Decimal to Fraction Conversions
| Decimal | Fraction |
|---|---|
| 0.125 | 1/8 |
| 0.25 | 1/4 |
| 0.333... | 1/3 |
| 0.375 | 3/8 |
| 0.5 | 1/2 |
| 0.625 | 5/8 |
| 0.667... | 2/3 |
| 0.75 | 3/4 |
| 0.875 | 7/8 |
| 1 | 1/1 |
Types of Fractions
Proper Fraction
Numerator is less than denominator. Example: 3/4
Improper Fraction
Numerator is equal to or greater than denominator. Example: 5/4
Mixed Number
Whole number plus a proper fraction. Example: 1 1/4
Repeating Decimals to Fractions
For repeating decimals like 0.333... = 1/3:
Let x = 0.333...
10x = 3.333...
10x - x = 3
9x = 3
x = 3/9 = 1/3
Applications
- Cooking: Convert recipe measurements
- Construction: Material measurements
- Engineering: Precision calculations
- Education: Learning fractions
Frequently Asked Questions
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