0.425 as a Fraction
How to write 0.425 as a Fraction? Converting a decimal to a fraction involves expressing the decimal as a ratio of two numbers, with the denominator being a power of 10. The resulting fraction is usually in its simplest form, which means that the numerator and denominator have no common factors other than 1.
Step-by-Step Calculation:
What is 0.425 as a Fraction?
0.425 Decimal = 17/40 as a Fraction
How to Convert Decimal to Fraction
To convert a decimal number to a fraction, follow these steps:
- Regular Decimals: Count decimal places, write as fraction with denominator as power of 10, then simplify.
- Repeating Decimals: Use algebraic method - multiply by powers of 10 to align repeating parts, then subtract to eliminate repetition.
- Simplification: Find the Greatest Common Divisor (GCD) and divide both numerator and denominator by it.
Decimal to Fraction Conversion Examples
Here are some examples of decimal numbers converted to fractions:
| Decimal | Fraction | Percentage |
|---|---|---|
| 0.42 | 21/50 | 42% |
| 0.421 | 421/1000 | 42.1% |
| 0.422 | 211/500 | 42.2% |
| 0.423 | 423/1000 | 42.3% |
| 0.424 | 53/125 | 42.4% |
| 0.425 | 17/40 | 42.5% |
| 0.426 | 213/500 | 42.6% |
| 0.427 | 427/1000 | 42.7% |
| 0.428 | 107/250 | 42.8% |
| 0.429 | 429/1000 | 42.9% |
| 0.43 | 43/100 | 43% |
Conclusion
Converting decimals to fractions is a useful skill in mathematics. Whether dealing with regular or repeating decimals, the methods outlined above provide a clear path to expressing decimals as fractions. Practice with various decimal numbers to become proficient in these conversion techniques.