How to convert 98° Fahrenheit to celsius

General
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How to convert 98° Fahrenheit to celsius

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How to convert 98° Fahrenheit to Celsius?

Converting temperatures from Fahrenheit to Celsius involves using a straightforward mathematical formula. Here’s a step-by-step guide to help you convert 98°F to °C.

Formula for Conversion

The formula to convert Fahrenheit to Celsius is:

°C = \frac{5}{9} (°F - 32)

Step-by-Step Calculation

  1. Subtract 32 from the Fahrenheit temperature:
    98 - 32 = 66

  2. Multiply the result by \frac{5}{9}:

    \frac{5}{9} \times 66 \approx 36.67

Conclusion

Therefore, 98°F is approximately 36.67°C.

Understanding the Formula

The formula \frac{5}{9} (°F - 32) is derived from the relationship between the Fahrenheit and Celsius scales. The number 32 accounts for the freezing point of water (32°F) in the Fahrenheit scale, which corresponds to 0°C in the Celsius scale. The fraction \frac{5}{9} represents the ratio of the difference in temperature scales because there are 180 degrees Fahrenheit (from 32°F to 212°F, the boiling point of water) corresponding to 100 degrees Celsius (from 0°C to 100°C).

Example Display Calculation

Here’s the entire calculation shown clearly:

°C = \frac{5}{9} (98 - 32) \\ °C = \frac{5}{9} \times 66 \\ °C \approx 36.67

So, to recap, 98°F converted to Celsius is approximately 36.67°C.