.6875 as a Fraction
How to write .6875 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 .6875 as a Fraction?
.6875 Decimal = 11/16 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 |
|---|---|---|
| 0.687 | 687/1000 | 68.7% |
| 0.6871 | 6871/10000 | 68.71% |
| 0.6872 | 859/1250 | 68.72% |
| 0.6873 | 6873/10000 | 68.73% |
| 0.6874 | 3437/5000 | 68.74% |
| 0.6875 | 11/16 | 68.75% |
| 0.6876 | 1719/2500 | 68.76% |
| 0.6877 | 6877/10000 | 68.77% |
| 0.6878 | 3439/5000 | 68.78% |
| 0.6879 | 6879/10000 | 68.79% |
| 0.688 | 86/125 | 68.8% |
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.