5.2 as a Fraction
How to write 5.2 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 5.2 as a Fraction?
5.2 Decimal = 26/5 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 |
|---|---|---|
| 4.7 | 47/10 | 470% |
| 4.8 | 24/5 | 480% |
| 4.9 | 49/10 | 490% |
| 5.1 | 51/10 | 510% |
| 5.2 | 26/5 | 520% |
| 5.3 | 53/10 | 530% |
| 5.4 | 27/5 | 540% |
| 5.5 | 11/2 | 550% |
| 5.6 | 28/5 | 560% |
| 5.7 | 57/10 | 570% |
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.