0.225 as a Fraction
How to write 0.225 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 0.225 as a Fraction?
0.225 Decimal = 9/40 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 |
|---|---|---|
| 0.22 | 11/50 | 22% |
| 0.221 | 221/1000 | 22.1% |
| 0.222 | 111/500 | 22.2% |
| 0.223 | 223/1000 | 22.3% |
| 0.224 | 28/125 | 22.4% |
| 0.225 | 9/40 | 22.5% |
| 0.226 | 113/500 | 22.6% |
| 0.227 | 227/1000 | 22.7% |
| 0.228 | 57/250 | 22.8% |
| 0.229 | 229/1000 | 22.9% |
| 0.23 | 23/100 | 23% |
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.