3.75 as a Fraction
How to write 3.75 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 3.75 as a Fraction?
3.75 Decimal = 15/4 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 |
|---|---|---|
| 3.7 | 37/10 | 370% |
| 3.71 | 371/100 | 371% |
| 3.72 | 93/25 | 372% |
| 3.73 | 373/100 | 373% |
| 3.74 | 187/50 | 374% |
| 3.75 | 15/4 | 375% |
| 3.76 | 94/25 | 376% |
| 3.77 | 377/100 | 377% |
| 3.78 | 189/50 | 378% |
| 3.79 | 379/100 | 379% |
| 3.8 | 19/5 | 380% |
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.