What is 97.8 °F in °C ?
The Correct answer and Explanation is:
To convert Fahrenheit to Celsius, we can use the formula:°C=(°F−32)×59°C = \frac{(°F – 32) \times 5}{9}°C=9(°F−32)×5
For the given temperature of 97.8 °F, we can substitute this value into the formula:°C=(97.8−32)×59°C = \frac{(97.8 – 32) \times 5}{9}°C=9(97.8−32)×5
First, we perform the subtraction:97.8−32=65.897.8 – 32 = 65.897.8−32=65.8
Next, we multiply this result by 5:65.8×5=32965.8 \times 5 = 32965.8×5=329
Finally, we divide by 9 to find the Celsius equivalent:°C=3299≈36.56°C = \frac{329}{9} \approx 36.56°C=9329≈36.56
Therefore, 97.8 °F is approximately 36.56 °C.
Explanation
The conversion between Fahrenheit and Celsius is essential in various fields, including medicine, science, and everyday life, particularly in regions where Celsius is the standard unit of temperature. Understanding how to convert between these units is important for accurate communication and understanding of temperature-sensitive conditions.
Fahrenheit is a scale primarily used in the United States, where 32 °F represents the freezing point of water, and 212 °F represents the boiling point at sea level. In contrast, Celsius is used in most other countries, with 0 °C being the freezing point and 100 °C being the boiling point of water.
The conversion formula takes into account that the two scales have different starting points (the offset of 32) and different scales of measurement (the ratio of 5:9 for the degree increments). The formula allows for accurate conversion, preserving the relationship between the two scales.
In practical applications, such as in healthcare, the ability to convert temperature readings can be critical. For instance, normal body temperature in Celsius is typically around 36.1 °C to 37.2 °C, and understanding where a given Fahrenheit reading falls within this range is crucial for assessing a patient’s health. Thus, being able to accurately perform these conversions ensures clarity and precision in temperature reporting across different contexts.