Question

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

Answer 1

Hint:
In this question, we will use the concept of the conversion factor to convert $105$ degree Fahrenheit to degree Celsius. As we know that Fahrenheit scale comes under British unit system while Celsius scale comes under the Standard International unit system.

Complete step by step solution:
In this question, we have given a temperature measuring in degree Fahrenheit scale unit that is $105$ degree Fahrenheit and we need to convert it into Celsius scale. As we know that both units are used to measure the temperature. Generally, Fahrenheit scale comes under British unit system while Celsius scale comes under the Standard International unit system. As we know that, many unit’s systems are used to measure the temperature such as Kelvin, Rankine, and so on.

To convert temperature in Fahrenheit to Celsius scale, we will use the following conversion formula,
$ \Rightarrow C = \dfrac{{5\left( {F - 32} \right)}}{9}$
Here, the temperature in Celsius is $C$ and the temperature in Fahrenheit scale is $F$.

Now, we will substitute the value of the temperature in degree Fahrenheit in above equation as,
$ \Rightarrow C = \dfrac{{5\left( {105 - 32} \right)}}{9}$
Now, we will solve the bracket operation as,
$ \Rightarrow C = \dfrac{{5\left( {73} \right)}}{9}$
Now, we will solve the numerator part as,
$ \Rightarrow C = \dfrac{{365}}{9}$
After simplifying the above equation, we will obtain,
$\therefore C = 40.556^\circ {\text{C}}$

Therefore, there are $40.556$ degree Celsius in $105$ degree Fahrenheit.

Note:
As we know that the boiling temperature of the water in degree Celsius scale is $100^\circ {\text{C}}$ while the boiling temperature of water in degree Fahrenheit is $212$ degree Fahrenheit and the freezing temperature of the water in degree Celsius scale is $0^\circ {\text{C}}$ while the freezing temperature of water in degree Fahrenheit is $32$ degree Fahrenheit