Question

How do I convert \[101\] degrees Fahrenheit into degrees Celsius ?

Answer 1

Hint: While approaching such kind of the one should know about the Fahrenheit system and the Celsius system of temperature reading and representation the Fahrenheit scale is a temperature scale based on one proposed in \[1724\] by the physicist Daniel Gabriel with the symbol of representation as \[^\circ F\]and the Celsius scale is also called centigrade scale invented in \[1742\] by the Swedish astronomer Anders Celsius with the symbol of the representation as \[^\circ C\].

Complete step-by-step answer:
In the above question we are given a temperature reading that is \[101F\] that is given in Fahrenheit representation of temperature reading and we are asked its equivalent degrees of temperature in the Celsius form (also known as the centigrade scale which uses \[{100^\circ }\] as boiling point and \[{0^\circ }\] as the freezing point) of the temperature reading.
So for converting this we would us the formula of conversion of Fahrenheit into the Celsius temperature that is –
\[{T_{{\circ _C}}} = ({T_{{\circ _F}}} - 32){\times}\dfrac{5}{9}\]
Where \[{T_{{\circ _C}}}\] is the temperature in Celsius representation
\[{T_{{\circ _F}}}\] is the temperature in the Fahrenheit representation
Using the above formula for finding the required answer in degree Celsius for the asked temperature that is \[101F\]the resultant comes as –
\[
  {T_{{\circ _C}}} = (101 - 32){\times}\dfrac{5}{9} \\
\Rightarrow {T_{{\circ _C}}} = (69){\times}\dfrac{5}{9} \\
\Rightarrow {T_{{\circ _C}}} = {38.333^\circ } \\
 \]
So the required answer in Celsius for the \[101F\] is \[{38.333^\circ }C\]

Note: While solving such kind of the questions one should know the conversions formula for converting the Fahrenheit into the Celsius temperature as the whole question depends on that and the care should be taken while doing the calculations as it is main key of this kind of the questions