87.5 as a Fraction
How to write 87.5 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 87.5 as a Fraction?
87.5 Decimal = 175/2 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 |
|---|---|---|
| 87.1 | 871/10 | 8710% |
| 87.2 | 436/5 | 8720% |
| 87.3 | 873/10 | 8730% |
| 87.4 | 437/5 | 8740% |
| 87.5 | 175/2 | 8750% |
| 87.6 | 438/5 | 8760% |
| 87.7 | 877/10 | 8770% |
| 87.8 | 439/5 | 8780% |
| 87.9 | 879/10 | 8790% |
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.