Question

What is $120$ degrees Fahrenheit in Celsius?

Answer 1

Hint :We have to understand conversion between degrees Fahrenheit and Celsius. First we have to calculate what $1$ degree Fahrenheit is equal to in Celsius then calculate about $120$ degrees Fahrenheit. It is simple conversion and careful calculation.
 $1^{0}F=-{17.222}^{0}C$
 $T_{\left({}^{0}C\right)}=\left(T_{\left({}^{0}F\right)}-32\right)\times {\displaystyle \frac{5}{9}}$

Complete Step By Step Answer:
Let us first understand the meaning of Fahrenheit and Celsius and then about their conversion.
Fahrenheit and Celsius are the scales of measuring temperature of the system. The difference between these two scales is as: the difference between boiling point and melting point in Celsius scale is ${100}^{0}C$ and the difference between melting and boiling point in Fahrenheit is ${180}^{0}F$ .
The conversion between these scales is determined with the help of the formula given below: $T_{\left({}^{0}C\right)}=\left(T_{\left({}^{0}F\right)}-32\right)\times {\displaystyle \frac{5}{9}}$
Now, we have to convert $120$ degrees Fahrenheit in Celsius so we have to put
 $T_{\left({}^{0}F\right)}=120$ above equation, we get
 $\Rightarrow T_{\left({}^{0}C\right)}=\left(120-32\right)\times {\displaystyle \frac{5}{9}}$
 $\Rightarrow T_{\left({}^{0}C\right)}=88\times {\displaystyle \frac{5}{9}}$
Now we have to calculate the above equation and we have:
 $\Rightarrow T_{\left({}^{0}C\right)}=9.78\times 5$
 $\Rightarrow T_{\left({}^{0}C\right)}=48.90$
So, here we calculated that the $120$ degrees Fahrenheit is equal to $48.90$ degrees Celsius.
Hence the answer is ${48.90}^{0}C$

Note :
Here, we have calculated the conversion of the Fahrenheit and Celsius degrees of the system in the given question. Thus, we have used the general formula for the calculation though we know that $1^{0}F=-{17.222}^{0}C$ . So, we calculated the required answer with the help of general formula $T_{\left({}^{0}C\right)}=\left(T_{\left({}^{0}F\right)}-32\right)\times {\displaystyle \frac{5}{9}}$ .