To convert fraction to decimal: divide numerator by denominator. 3/4 = 0.75. Some fractions produce repeating decimals: 1/3 = 0.333... (overline). To convert decimal to fraction: for 0.75, it's 75/100 = 3/4. For repeating: 0.333... = 1/3. The key is recognizing the pattern and using algebraic tricks.
How to Use
Enter a fraction or decimal:
- Fraction: numerator/denominator
- Decimal: Any decimal number
- Result: Conversion shown
Repeating Decimals
- 1/3 = 0.333... (period 1)
- 1/7 = 0.142857142857... (period 6)
- 1/6 = 0.1666... (mixed)
Conversion Trick
Terminates if denominator has only 2 and 5 as prime factors. Otherwise it repeats. Period length divides φ(denominator).
Step-by-Step Instructions
- 1Enter a fraction (e.g. 22/7).
- 2View the decimal form.
- 3Check for repeating pattern.
- 4Or enter a decimal.
- 5Get the simplified fraction.