Question

How much temperature reading is $ {325^ \circ }F $ in Celsius scale reading (in $ ^ \circ C $ )?

Answer 1

Hint: To solve this problem we have to use the conversion from Fahrenheit scale to Celsius scale of reading. The conversion formula from Fahrenheit scale to Celsius scale of reading is calculated with respect to the freezing point of water.
The conversion formula from Fahrenheit scale to Celsius scale of reading is given by, $ \dfrac{C}{5} = \dfrac{{F - 32}}{9} $ where $ C $ is the reading in Celsius scale and $ F $ is the reading in Fahrenheit scale.

Complete step by step answer:
We have to get the reading of the temperature given in Fahrenheit scale to Celsius scale. The reading given in Fahrenheit scale is $ F = {325^ \circ }F $ .
Now, to solve this problem we have to use the conversion from Fahrenheit scale to Celsius scale of reading. The conversion formula from Fahrenheit scale to Celsius scale of reading is calculated with respect to the freezing point of water. We know that, the conversion formula from Fahrenheit scale to Celsius scale of reading is given by, $ \dfrac{C}{5} = \dfrac{{F - 32}}{9} $ where $ C $ is the reading in Celsius scale and $ F $ is the reading in Fahrenheit scale.
So, the reading in Celsius scale becomes, $ C = \dfrac{5}{9}(F - 32) $
Hence, putting the given reading in Fahrenheit scale $ F = {325^ \circ }F $ in the conversion formula we have,
 $ C = \dfrac{5}{9}(325 - 32) $
Calculating the value we get,
 $ C = 162.78 $
So, the Celsius scale reading of Fahrenheit scale reading $ F = {325^ \circ }F $ will be, $ C = {162.78^ \circ }C $

Note:
To convert the reading of Fahrenheit scale in Celsius scale we just have to subtract the reading $ 32 $ from the reading (which is the freezing point of water in Fahrenheit scale) then multiply it with the fraction $ \dfrac{5}{9} $ . To do the reverse means convert the reading of Celsius scale to Fahrenheit scale. We just have to multiply the reading with $ \dfrac{9}{5} $ and add that with $ 32 $ .