What is 97.6 f to c ?
The Correct Answer and Explanation is :
To convert a temperature from Fahrenheit (°F) to Celsius (°C), you can use the following formula:
[
°C = \frac{5}{9} \times (°F – 32)
]
Step-by-Step Conversion:
Given the temperature is 97.6°F, apply the formula:
[
°C = \frac{5}{9} \times (97.6 – 32)
]
First, subtract 32 from 97.6:
[
97.6 – 32 = 65.6
]
Next, multiply 65.6 by 5:
[
65.6 \times 5 = 328
]
Now, divide the result by 9:
[
\frac{328}{9} \approx 36.44
]
So, 97.6°F is approximately 36.44°C.
Explanation:
The formula to convert Fahrenheit to Celsius is derived from the relationship between the two temperature scales. The Fahrenheit scale is based on 32°F as the freezing point of water and 212°F as the boiling point of water, with 180 intervals between them. On the other hand, the Celsius scale uses 0°C as the freezing point of water and 100°C as the boiling point, with 100 intervals between them.
To convert between the two scales, the difference between the Fahrenheit temperature and 32°F must first be calculated because 32°F is the starting point of the Fahrenheit scale. Then, the result is scaled by the ratio of the intervals between the Celsius and Fahrenheit scales, which is ( \frac{5}{9} ).
This method allows accurate conversion and understanding of the temperature in both units, useful for scientific, medical, or everyday purposes, especially when dealing with body temperatures or weather conditions.