8.4 as a Fraction
How to write 8.4 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 8.4 as a Fraction?
8.4 Decimal = 42/5 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 |
|---|---|---|
| 7.9 | 79/10 | 790% |
| 8.1 | 81/10 | 810% |
| 8.2 | 41/5 | 820% |
| 8.3 | 83/10 | 830% |
| 8.4 | 42/5 | 840% |
| 8.5 | 17/2 | 850% |
| 8.6 | 43/5 | 860% |
| 8.7 | 87/10 | 870% |
| 8.8 | 44/5 | 880% |
| 8.9 | 89/10 | 890% |
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.