Question

How do you convert $105°$ Fahrenheit to Celsius?

Answer 1

Step 1: Given data:

Fahrenheit scales reading: $F=105°$

Step 2: Formula Used

1. Fahrenheit and Celsius scales are two different scales to measure the temperature of the body.
2. The relation between Fahrenheit and Celsius scales is given by,
3. $\frac{C}{5}=\frac{F-32}{9}$ where $C$ and $F$ are the Celsius and Fahrenheit scale readings.

Step 3: Calculation

Substitute the value of $F$ in the above equation

$$\begin{gathered} \frac{C}{5}=\frac{105-32}{9} \\ \Rightarrow \frac{C}{5}=\frac{73}{9} \\ \Rightarrow C=5\times \frac{73}{9} \\ \Rightarrow C=40.55°Celsius \end{gathered}$$

Hence, $105°Fahrenheit$ is equal to $40.55°Celsius$.