0.46 as a Fraction
How to write 0.46 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 0.46 as a Fraction?
0.46 Decimal = 23/50 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 |
|---|---|---|
| 0.41 | 41/100 | 41% |
| 0.42 | 21/50 | 42% |
| 0.43 | 43/100 | 43% |
| 0.44 | 11/25 | 44% |
| 0.45 | 9/20 | 45% |
| 0.46 | 23/50 | 46% |
| 0.47 | 47/100 | 47% |
| 0.48 | 12/25 | 48% |
| 0.49 | 49/100 | 49% |
| 0.5 | 1/2 | 50% |
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.