6.75 as a Fraction
How to write 6.75 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 6.75 as a Fraction?
6.75 Decimal = 27/4 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 |
|---|---|---|
| 6.7 | 67/10 | 670% |
| 6.71 | 671/100 | 671% |
| 6.72 | 168/25 | 672% |
| 6.73 | 673/100 | 673% |
| 6.74 | 337/50 | 674% |
| 6.75 | 27/4 | 675% |
| 6.76 | 169/25 | 676% |
| 6.77 | 677/100 | 677% |
| 6.78 | 339/50 | 678% |
| 6.79 | 679/100 | 679% |
| 6.8 | 34/5 | 680% |
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.