.31 as a Fraction
How to write .31 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 .31 as a Fraction?
.31 Decimal = 31/100 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 |
|---|---|---|
| 0.26 | 13/50 | 26% |
| 0.27 | 27/100 | 27% |
| 0.28 | 7/25 | 28% |
| 0.29 | 29/100 | 29% |
| 0.3 | 3/10 | 30% |
| 0.31 | 31/100 | 31% |
| 0.32 | 8/25 | 32% |
| 0.33 | 33/100 | 33% |
| 0.34 | 17/50 | 34% |
| 0.35 | 7/20 | 35% |
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.