.687 as a Fraction
How to write .687 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 .687 as a Fraction?
.687 Decimal = 687/1000 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 |
|---|---|---|
| 0.682 | 341/500 | 68.2% |
| 0.683 | 683/1000 | 68.3% |
| 0.684 | 171/250 | 68.4% |
| 0.685 | 137/200 | 68.5% |
| 0.686 | 343/500 | 68.6% |
| 0.687 | 687/1000 | 68.7% |
| 0.688 | 86/125 | 68.8% |
| 0.689 | 689/1000 | 68.9% |
| 0.69 | 69/100 | 69% |
| 0.691 | 691/1000 | 69.1% |
| 0.692 | 173/250 | 69.2% |
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.