The conversion of temperature from Fahrenheit to Celsius is a common task in various fields, including science, engineering, and everyday life. To convert 117 degrees Fahrenheit to Celsius, we use the formula: °C = (°F - 32) × 5/9. Applying this formula, we get: °C = (117 - 32) × 5/9 = 85 × 5/9 = 47.22 °C. Therefore, 117 °F is equivalent to 47.22 °C.
Understanding the Conversion Formula
The conversion formula from Fahrenheit to Celsius is based on the fact that the freezing point of water is 32 °F and the boiling point is 212 °F. In the Celsius scale, the freezing point is 0 °C and the boiling point is 100 °C. The formula °C = (°F - 32) × 5⁄9 takes into account the difference in the zero points and the scale factors of the two temperature scales. This formula allows for accurate conversion between the two scales.
Step-by-Step Conversion Process
To convert 117 °F to °C, follow these steps:
- Subtract 32 from 117: 117 - 32 = 85
- Multiply the result by 5: 85 × 5 = 425
- Divide the result by 9: 425 ÷ 9 = 47.22
Therefore, 117 °F is equal to 47.22 °C.
| Fahrenheit | Celsius |
|---|---|
| 117 °F | 47.22 °C |
| 32 °F | 0 °C |
| 212 °F | 100 °C |
Applications of Temperature Conversion
The ability to convert temperatures between Fahrenheit and Celsius is essential in many fields. In science, precise temperature control is crucial for experiments and measurements. In engineering, temperature conversion is necessary for designing and operating systems that involve heat transfer. In everyday life, understanding temperature conversion can be useful for cooking, where recipes may be given in either Fahrenheit or Celsius.
Common Temperature Ranges
Here are some common temperature ranges and their equivalents in both Fahrenheit and Celsius:
- Freezing point of water: 32 °F = 0 °C
- Boiling point of water: 212 °F = 100 °C
- Human body temperature: 98.6 °F = 37 °C
- Room temperature: 68 °F = 20 °C
What is the formula to convert Fahrenheit to Celsius?
+The formula to convert Fahrenheit to Celsius is: °C = (°F - 32) × 5/9.
Why is temperature conversion important?
+Temperature conversion is important in various fields, including science, engineering, and everyday life, as it allows for precise control and understanding of temperature-dependent processes.
In conclusion, converting 117 °F to Celsius involves applying the formula °C = (°F - 32) × 5⁄9, which yields 47.22 °C. Understanding this conversion process and the underlying formula is essential for various applications and can be useful in a wide range of contexts.
