.175 as a Fraction
How to write .175 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 .175 as a Fraction?
.175 Decimal = 7/40 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 |
|---|---|---|
| 0.17 | 17/100 | 17% |
| 0.171 | 171/1000 | 17.1% |
| 0.172 | 43/250 | 17.2% |
| 0.173 | 173/1000 | 17.3% |
| 0.174 | 87/500 | 17.4% |
| 0.175 | 7/40 | 17.5% |
| 0.176 | 22/125 | 17.6% |
| 0.177 | 177/1000 | 17.7% |
| 0.178 | 89/500 | 17.8% |
| 0.179 | 179/1000 | 17.9% |
| 0.18 | 9/50 | 18% |
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.