.197 as a Fraction
How to write .197 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 .197 as a Fraction?
.197 Decimal = 197/1000 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 |
|---|---|---|
| 0.192 | 24/125 | 19.2% |
| 0.193 | 193/1000 | 19.3% |
| 0.194 | 97/500 | 19.4% |
| 0.195 | 39/200 | 19.5% |
| 0.196 | 49/250 | 19.6% |
| 0.197 | 197/1000 | 19.7% |
| 0.198 | 99/500 | 19.8% |
| 0.199 | 199/1000 | 19.9% |
| 0.2 | 1/5 | 20% |
| 0.201 | 201/1000 | 20.1% |
| 0.202 | 101/500 | 20.2% |
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.