.065 as a Fraction
How to write .065 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 .065 as a Fraction?
.065 Decimal = 13/200 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 |
|---|---|---|
| 0.06 | 3/50 | 6% |
| 0.061 | 61/1000 | 6.1% |
| 0.062 | 31/500 | 6.2% |
| 0.063 | 63/1000 | 6.3% |
| 0.064 | 8/125 | 6.4% |
| 0.065 | 13/200 | 6.5% |
| 0.066 | 33/500 | 6.6% |
| 0.067 | 67/1000 | 6.7% |
| 0.068 | 17/250 | 6.8% |
| 0.069 | 69/1000 | 6.9% |
| 0.07 | 7/100 | 7% |
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.