8.75 as a Fraction
How to write 8.75 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 8.75 as a Fraction?
8.75 Decimal = 35/4 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 |
|---|---|---|
| 8.7 | 87/10 | 870% |
| 8.71 | 871/100 | 871% |
| 8.72 | 218/25 | 872% |
| 8.73 | 873/100 | 873% |
| 8.74 | 437/50 | 874% |
| 8.75 | 35/4 | 875% |
| 8.76 | 219/25 | 876% |
| 8.77 | 877/100 | 877% |
| 8.78 | 439/50 | 878% |
| 8.79 | 879/100 | 879% |
| 8.8 | 44/5 | 880% |
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.