3.125 as a Fraction
How to write 3.125 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 3.125 as a Fraction?
3.125 Decimal = 25/8 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 |
|---|---|---|
| 3.12 | 78/25 | 312% |
| 3.121 | 3121/1000 | 312.1% |
| 3.122 | 1561/500 | 312.2% |
| 3.123 | 3123/1000 | 312.3% |
| 3.124 | 781/250 | 312.4% |
| 3.125 | 25/8 | 312.5% |
| 3.126 | 1563/500 | 312.6% |
| 3.127 | 3127/1000 | 312.7% |
| 3.128 | 391/125 | 312.8% |
| 3.129 | 3129/1000 | 312.9% |
| 3.13 | 313/100 | 313% |
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.