0.015625 as a Fraction
How to write 0.015625 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 0.015625 as a Fraction?
0.015625 Decimal = 1/64 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 |
|---|---|---|
| 0.01562 | 781/50000 | 1.562% |
| 0.015621 | 15621/1000000 | 1.5621% |
| 0.015622 | 7811/500000 | 1.5622% |
| 0.015623 | 15623/1000000 | 1.5623% |
| 0.015624 | 1953/125000 | 1.5624% |
| 0.015625 | 1/64 | 1.5625% |
| 0.015626 | 7813/500000 | 1.5626% |
| 0.015627 | 15627/1000000 | 1.5627% |
| 0.015628 | 3907/250000 | 1.5628% |
| 0.015629 | 15629/1000000 | 1.5629% |
| 0.01563 | 1563/100000 | 1.563% |
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.