1.625 as a Fraction
How to write 1.625 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 1.625 as a Fraction?
1.625 Decimal = 13/8 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 |
|---|---|---|
| 1.62 | 81/50 | 162% |
| 1.621 | 1621/1000 | 162.1% |
| 1.622 | 811/500 | 162.2% |
| 1.623 | 1623/1000 | 162.3% |
| 1.624 | 203/125 | 162.4% |
| 1.625 | 13/8 | 162.5% |
| 1.626 | 813/500 | 162.6% |
| 1.627 | 1627/1000 | 162.7% |
| 1.628 | 407/250 | 162.8% |
| 1.629 | 1629/1000 | 162.9% |
| 1.63 | 163/100 | 163% |
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.