Question

What is ${{22}^{\circ }}$Fahrenheit in Celsius?

Answer 1

Hint: The terms Fahrenheit and Celsius are both used as a measuring unit for temperature. We can convert Fahrenheit to Celsius and vice versa. The formula for conversion of Fahrenheit into Celsius is given as: $^{\circ }Celsius=\dfrac{5}{9}\times \left( ^{\circ }Fahrenheit-32 \right)$. We can get the required solution with the help of this formula.

Complete step by step answer:
Degree Celsius is a measure of temperature and degree Fahrenheit is another unit for the measure of temperature. Generally, there are three different temperature measuring units that are used. These are Celsius, Fahrenheit and Kelvin. In the above problem, we have to convert Fahrenheit to Celsius. So, we will use the formula provided to us in the hint section for this conversion.
Let the value of temperature in Fahrenheit be ‘x’ and in Celsius be ‘y’, then it has been given to us in the problem that:
$\Rightarrow x={{22}^{\circ }}F$

And, the formula for conversion could be written as:
$\Rightarrow y=\dfrac{5}{9}\left( x-32 \right)$

Putting the value of ‘x’ calculated above, in the conversion formula and calculating for ‘y’, we get the new expression as:
$\Rightarrow y=\dfrac{5}{9}\left( 22-32 \right)$

On further simplifying the above equation, we get:
$\Rightarrow y=\dfrac{5}{9}\times \left( -10 \right)$
$\Rightarrow y=\dfrac{-50}{9}$
$\therefore y=-{{5.56}^{\circ }}C$

Thus, the final value of ‘y’ comes out to be $-{{5.56}^{\circ }}C$.
Hence, ${{22}^{\circ }}F$ when converted into degree Celsius comes out to be $-{{5.56}^{\circ }}C$.

Note: The reverse conversion of Celsius into Fahrenheit could be done with the multiplying the degree Celsius value by $\dfrac{9}{5}$ and then adding $32$ to the product obtained. Also, the third measuring technique, that is, Kelvin is calculated simply by adding 273.15 to the Celsius value. The Kelvin measuring scale is also the standard measuring unit of temperature.