2.2 as a Fraction
How to write 2.2 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 2.2 as a Fraction?
2.2 Decimal = 11/5 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 |
|---|---|---|
| 1.7 | 17/10 | 170% |
| 1.8 | 9/5 | 180% |
| 1.9 | 19/10 | 190% |
| 2.1 | 21/10 | 210% |
| 2.2 | 11/5 | 220% |
| 2.3 | 23/10 | 230% |
| 2.4 | 12/5 | 240% |
| 2.5 | 5/2 | 250% |
| 2.6 | 13/5 | 260% |
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.