Question

How do you convert 53 Celsius to Fahrenheit?

Answer 1

Hint: To convert 53 Celsius to Fahrenheit, we should first know the relationship between Celsius to Fahrenheit. We know that ${{x}^{\circ }}C\times \dfrac{9}{5}+32={{y}^{\circ }}F$ or if we want to convert Celsius into Fahrenheit then we have to first multiply $\dfrac{9}{5}$ to the given degree Celsius and then we have to add 32 to it.

Complete step by step answer:
In the above problem, the number of Celsius we have given to convert them into Fahrenheit is as follows:
53 Celsius
The abbreviation for Celsius is $\left( ^{\circ }C \right)$ and for Fahrenheit is $\left( ^{\circ }F \right)$. And we know the relationship between Celsius and Fahrenheit is as follows:
${{x}^{\circ }}C\times \dfrac{9}{5}+32={{y}^{\circ }}F$……… Eq. (1)
In the above formula, if we know x then we can find the value of y and vice versa.
And to convert the degree Celsius into Fahrenheit we are going to multiply 53 by $\dfrac{9}{5}$ and then we will add 32 into this multiplication.
 ${{53}^{\circ }}C\times \dfrac{9}{5}+32$
To simplify the above expression, we are going to multiply 53 by 9 we get,
$\begin{align}
  & \dfrac{53\times 9}{5}+32 \\
 & \Rightarrow \dfrac{477}{5}+32 \\
\end{align}$
Now, we are going to divide 5 by 477 and we get,
$95.4+32$
Now, we are going to add the above expression and we get,
${{127.4}^{\circ }}F$

Hence, we have converted 53 Celsius to 127.4 Fahrenheit.

Note: In the above problem, we have converted Celsius into Fahrenheit. But sometimes, in some questions, you might ask to convert Fahrenheit into Celsius. Now, to convert Fahrenheit into Celsius we are going to rearrange the eq. (1) as follows:
${{x}^{\circ }}C\times \dfrac{9}{5}+32={{y}^{\circ }}F$
Subtracting 32 on both the sides we get,
$\begin{align}
  & {{x}^{\circ }}C\times \dfrac{9}{5}+32-32={{y}^{\circ }}F-32 \\
 & \Rightarrow {{x}^{\circ }}C\times \dfrac{9}{5}={{y}^{\circ }}F-32 \\
\end{align}$
Now, multiplying $\dfrac{5}{9}$ on both the sides we get,
$\begin{align}
  & {{x}^{\circ }}C\times \dfrac{9}{5}\times \dfrac{5}{9}=\left( {{y}^{\circ }}F-32 \right)\times \dfrac{5}{9} \\
 & \Rightarrow {{x}^{\circ }}C=\left( {{y}^{\circ }}F-32 \right)\times \dfrac{5}{9} \\
\end{align}$
If we want the conversion from Fahrenheit into Celsius then we just need to plug the value of y in the above on R.H.S of the above equation and we will get the value of x.