What is the formula to convert Fahrenheit to Celsius?

The conversion from Fahrenheit to Celsius is accurately represented by the formula ((F - 32) \times \frac{5}{9}). This formula originates from the relationship between the two temperature scales where the freezing point of water is 32°F (or 0°C) and the boiling point is 212°F (or 100°C).

To derive this formula, you first subtract 32 from the Fahrenheit temperature to align the two scales based on their freezing and boiling points. Subsequently, multiplying the result by (\frac{5}{9}) adjusts the scale difference, as there are 180 degrees between the freezing and boiling points on the Fahrenheit scale, compared to only 100 degrees on the Celsius scale. Thus, this formula accurately translates a value expressed in Fahrenheit to its equivalent in Celsius, making it essential for conversions between these two temperature systems.

This formula directly captures the necessary steps and correct proportional adjustments needed to shift from one temperature scale to another, thereby enabling precise temperature conversions.