.84375 as a Fraction
How to write .84375 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 .84375 as a Fraction?
.84375 Decimal = 27/32 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 |
|---|---|---|
| 0.8437 | 8437/10000 | 84.37% |
| 0.84371 | 84371/100000 | 84.371% |
| 0.84372 | 21093/25000 | 84.372% |
| 0.84373 | 84373/100000 | 84.373% |
| 0.84374 | 42187/50000 | 84.374% |
| 0.84375 | 27/32 | 84.375% |
| 0.84376 | 10547/12500 | 84.376% |
| 0.84377 | 84377/100000 | 84.377% |
| 0.84378 | 42189/50000 | 84.378% |
| 0.84379 | 84379/100000 | 84.379% |
| 0.8438 | 4219/5000 | 84.38% |
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.