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 $5/9$.
Want to practice more questions like this?
Join myBenkio free and practice past questions for your Nigerian university courses with AI explanations for every answer.
Start Practicing Free