.035 as a Fraction
How to write .035 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 .035 as a Fraction?
.035 Decimal = 7/200 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 |
|---|---|---|
| 0.03 | 3/100 | 3% |
| 0.031 | 31/1000 | 3.1% |
| 0.032 | 4/125 | 3.2% |
| 0.033 | 33/1000 | 3.3% |
| 0.034 | 17/500 | 3.4% |
| 0.035 | 7/200 | 3.5% |
| 0.036 | 9/250 | 3.6% |
| 0.037 | 37/1000 | 3.7% |
| 0.038 | 19/500 | 3.8% |
| 0.039 | 39/1000 | 3.9% |
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.