1.375 as a Fraction
How to write 1.375 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 1.375 as a Fraction?
1.375 Decimal = 11/8 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 |
|---|---|---|
| 1.37 | 137/100 | 137% |
| 1.371 | 1371/1000 | 137.1% |
| 1.372 | 343/250 | 137.2% |
| 1.373 | 1373/1000 | 137.3% |
| 1.374 | 687/500 | 137.4% |
| 1.375 | 11/8 | 137.5% |
| 1.376 | 172/125 | 137.6% |
| 1.377 | 1377/1000 | 137.7% |
| 1.378 | 689/500 | 137.8% |
| 1.379 | 1379/1000 | 137.9% |
| 1.38 | 69/50 | 138% |
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.