0.075 as a Fraction
How to write 0.075 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 0.075 as a Fraction?
0.075 Decimal = 3/40 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 |
|---|---|---|
| 0.07 | 7/100 | 7% |
| 0.071 | 71/1000 | 7.1% |
| 0.072 | 9/125 | 7.2% |
| 0.073 | 73/1000 | 7.3% |
| 0.074 | 37/500 | 7.4% |
| 0.075 | 3/40 | 7.5% |
| 0.076 | 19/250 | 7.6% |
| 0.077 | 77/1000 | 7.7% |
| 0.078 | 39/500 | 7.8% |
| 0.079 | 79/1000 | 7.9% |
| 0.08 | 2/25 | 8% |
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.