How to recalculate 98.1 Fahrenheit to Celsius?
The Correct Answer and Explanation is:
To convert a temperature from Fahrenheit to Celsius, you can use the formula:
[
C = \frac{5}{9} \times (F – 32)
]
where (C) is the temperature in degrees Celsius, and (F) is the temperature in degrees Fahrenheit.
Step-by-step Calculation:
- Start with the given temperature in Fahrenheit:
- (F = 98.1)
- Subtract 32 from the Fahrenheit temperature:
[
F – 32 = 98.1 – 32 = 66.1
] - Multiply the result by (\frac{5}{9}):
[
C = \frac{5}{9} \times 66.1
] - Perform the multiplication:
- First, calculate (66.1 \times 5 = 330.5).
- Next, divide by 9:
[
C = \frac{330.5}{9} \approx 36.72
]
So, 98.1°F is approximately 36.72°C.
Explanation of the Formula:
The conversion formula from Fahrenheit to Celsius reflects the different scales of these temperature systems. The Fahrenheit scale defines the freezing point of water at 32°F and the boiling point at 212°F, giving it a 180-degree interval between these two key reference points. In contrast, the Celsius scale defines freezing at 0°C and boiling at 100°C, resulting in a 100-degree interval.
The conversion formula accounts for this difference. Subtracting 32 adjusts for the offset of the freezing point between the two scales. The factor of (\frac{5}{9}) arises because there are 180 degrees in the Fahrenheit scale between the freezing and boiling points of water and 100 degrees in the Celsius scale. To maintain the proportionality of these intervals in the conversion, we use the factor (\frac{5}{9}).
Understanding this conversion is particularly important in various fields, including medicine, science, and everyday applications, as temperature readings may need to be interpreted across different regions and contexts where different temperature scales are used.