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Which equation converts a temperature in Fahrenheit (°F) to Celsius (°C)?

Answer

$C = (F - 32)\times 5/9$

Explanation

### Why this is right To convert Fahrenheit to Celsius, subtract 32 from the Fahrenheit value and then multiply by $5/9$. The subtraction adjusts the zero point, while the fraction changes the size of the temperature interval. ### The concept Temperature scales can describe the same thermal state using different numerical values. Conversion changes the scale, not the temperature itself. The reverse conversion is $F = C\times 9/5 + 32$, so the direction of conversion matters. ### The other options - **B. $C = F\times 9/5 + 32$**: this has the structure of the Celsius-to-Fahrenheit formula, but labels its result as Celsius. - **C. $C = F + 32$**: this omits the scale adjustment factor and uses the offset in the wrong operation. - **D. $C = (F - 32)\times 9/5$**: this uses the reciprocal scale factor. ### Worked numbers - **Formula**: $C = (F - 32)\times 5/9$, where $F$ is Fahrenheit and $C$ is Celsius. ### Terms - **Fahrenheit (°F)**: a temperature scale used in the conversion exercise. - **Celsius (°C)**: a temperature scale used in the conversion exercise. ### Remember For Fahrenheit to Celsius, subtract 32, then multiply by $5/9$.

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