0.9375 as a Fraction
How to write 0.9375 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 0.9375 as a Fraction?
0.9375 Decimal = 15/16 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 |
|---|---|---|
| 0.937 | 937/1000 | 93.7% |
| 0.9371 | 9371/10000 | 93.71% |
| 0.9372 | 2343/2500 | 93.72% |
| 0.9373 | 9373/10000 | 93.73% |
| 0.9374 | 4687/5000 | 93.74% |
| 0.9375 | 15/16 | 93.75% |
| 0.9376 | 586/625 | 93.76% |
| 0.9377 | 9377/10000 | 93.77% |
| 0.9378 | 4689/5000 | 93.78% |
| 0.9379 | 9379/10000 | 93.79% |
| 0.938 | 469/500 | 93.8% |
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.