Question

On a winter day the temperature at a place in Himachal Pradesh was $\text{-16°C}$. Convert it in degree Fahrenheit ($\text{°F}$) by using the formula. $\frac{C}{5}=\frac{F-32}{9}$

Answer 1

The relationship between “Celcius” and “Fahrenheit” is given by -

$\frac{C}{5}=\frac{F-32}{9}$

The temperature at a place in Himachal Pradesh = $\text{-16°C}$

Let's covert Celcius value to Fahrenheit value using above formula -

$$\begin{gathered} \frac{-16}{5}=\frac{F-32}{9} \\ \Rightarrow 5\times \left(F-32\right)=-16\times 9 \\ \Rightarrow 5F-160=-144 \\ \Rightarrow 5F=-144+160 \\ \Rightarrow 5F=16 \\ \Rightarrow F=\frac{16}{5} \\ \Rightarrow F=3.2 \end{gathered}$$

Hence, the temperature is $3.2°F$