1.125 as a Fraction
How to write 1.125 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 1.125 as a Fraction?
1.125 Decimal = 9/8 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 |
|---|---|---|
| 1.12 | 28/25 | 112% |
| 1.121 | 1121/1000 | 112.1% |
| 1.122 | 561/500 | 112.2% |
| 1.123 | 1123/1000 | 112.3% |
| 1.124 | 281/250 | 112.4% |
| 1.125 | 9/8 | 112.5% |
| 1.126 | 563/500 | 112.6% |
| 1.127 | 1127/1000 | 112.7% |
| 1.128 | 141/125 | 112.8% |
| 1.129 | 1129/1000 | 112.9% |
| 1.13 | 113/100 | 113% |
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.