0.167 as a Fraction
How to write 0.167 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 0.167 as a Fraction?
0.167 Decimal = 167/1000 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 |
|---|---|---|
| 0.162 | 81/500 | 16.2% |
| 0.163 | 163/1000 | 16.3% |
| 0.164 | 41/250 | 16.4% |
| 0.165 | 33/200 | 16.5% |
| 0.166 | 83/500 | 16.6% |
| 0.167 | 167/1000 | 16.7% |
| 0.168 | 21/125 | 16.8% |
| 0.169 | 169/1000 | 16.9% |
| 0.17 | 17/100 | 17% |
| 0.171 | 171/1000 | 17.1% |
| 0.172 | 43/250 | 17.2% |
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.