2.025 as a Fraction
How to write 2.025 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 2.025 as a Fraction?
2.025 Decimal = 81/40 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 |
|---|---|---|
| 2.02 | 101/50 | 202% |
| 2.021 | 2021/1000 | 202.1% |
| 2.022 | 1011/500 | 202.2% |
| 2.023 | 2023/1000 | 202.3% |
| 2.024 | 253/125 | 202.4% |
| 2.025 | 81/40 | 202.5% |
| 2.026 | 1013/500 | 202.6% |
| 2.027 | 2027/1000 | 202.7% |
| 2.028 | 507/250 | 202.8% |
| 2.029 | 2029/1000 | 202.9% |
| 2.03 | 203/100 | 203% |
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.