0.4375 as a Fraction
How to write 0.4375 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 0.4375 as a Fraction?
0.4375 Decimal = 7/16 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 |
|---|---|---|
| 0.437 | 437/1000 | 43.7% |
| 0.4371 | 4371/10000 | 43.71% |
| 0.4372 | 1093/2500 | 43.72% |
| 0.4373 | 4373/10000 | 43.73% |
| 0.4374 | 2187/5000 | 43.74% |
| 0.4375 | 7/16 | 43.75% |
| 0.4376 | 547/1250 | 43.76% |
| 0.4377 | 4377/10000 | 43.77% |
| 0.4378 | 2189/5000 | 43.78% |
| 0.4379 | 4379/10000 | 43.79% |
| 0.438 | 219/500 | 43.8% |
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.