.825 as a Fraction
How to write .825 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 .825 as a Fraction?
.825 Decimal = 33/40 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 |
|---|---|---|
| 0.82 | 41/50 | 82% |
| 0.821 | 821/1000 | 82.1% |
| 0.822 | 411/500 | 82.2% |
| 0.823 | 823/1000 | 82.3% |
| 0.824 | 103/125 | 82.4% |
| 0.825 | 33/40 | 82.5% |
| 0.826 | 413/500 | 82.6% |
| 0.827 | 827/1000 | 82.7% |
| 0.828 | 207/250 | 82.8% |
| 0.829 | 829/1000 | 82.9% |
| 0.83 | 83/100 | 83% |
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.