Fraction to Decimal Converter
Convert any fraction to its decimal equivalent instantly — enter the numerator and denominator below.
How to Convert a Fraction to a Decimal
Converting a fraction to a decimal is straightforward: simply divide the numerator by the denominator.
Example: 3/8 = 3 ÷ 8 = 0.375
Terminating vs. Repeating Decimals
Every fraction converts to either a terminating decimal or a repeating decimal:
- Terminating: The decimal ends. This happens when the denominator (in lowest terms) has only 2s and 5s as prime factors.
Examples: 1/2 = 0.5 | 3/4 = 0.75 | 7/8 = 0.875 | 9/20 = 0.45 - Repeating: One or more digits repeat forever (shown with a bar). This happens when the denominator has prime factors other than 2 and 5.
Examples: 1/3 = 0.3̄ | 1/6 = 0.16̄ | 1/7 = 0.142857̄
Common Fraction to Decimal Reference
| Fraction | Decimal | Fraction | Decimal |
|---|---|---|---|
| 1/2 | 0.5 | 1/6 | 0.1666... |
| 1/3 | 0.3333... | 1/7 | 0.142857... |
| 1/4 | 0.25 | 1/8 | 0.125 |
| 1/5 | 0.2 | 3/4 | 0.75 |
Real-World Applications
- Shopping: A 1/3 discount is approximately 33.3% off.
- Measurements: Converting ruler fractions (3/16") to decimal inches for precision work.
- Statistics: Expressing survey results — 17 out of 40 respondents = 17/40 = 0.425 = 42.5%.
- Sports: Batting averages like 3/10 hits = 0.300.
Common Mistakes to Avoid
- Dividing backwards: Always divide numerator ÷ denominator, not denominator ÷ numerator.
- Rounding repeating decimals: 1/3 ≈ 0.333, not 0.3 or 0.34. Use enough decimal places for accuracy.
- Mixed numbers: Convert to improper fractions first. 2 1/4 = 9/4 = 2.25.
Frequently Asked Questions
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. For 1/3 = 1 ÷ 3 = 0.333... (repeating).
What is a terminating decimal?
A terminating decimal ends after a finite number of digits. This happens when the simplified denominator has only 2 and 5 as prime factors. Examples: 1/2 = 0.5, 3/4 = 0.75, 7/8 = 0.875.
What is a repeating decimal?
A repeating decimal has digits that repeat forever. Examples: 1/3 = 0.333..., 1/7 = 0.142857142857..., 5/6 = 0.8333...
What are common fraction-to-decimal conversions?
1/2=0.5, 1/4=0.25, 3/4=0.75, 1/3≈0.333, 2/3≈0.667, 1/5=0.2, 1/8=0.125, 1/10=0.1, 1/6≈0.167.
Is the Fraction to Decimal converter free?
Yes, completely free. No registration, no limits, no hidden fees.