Question

Derive a relation between the Celsius and Fahrenheit Scales of temperature using the fixed points in the two different scales.

Answer 1

$\frac{C-L.F.P}{U.F.P-L.F.P}=\frac{F-L.F.P}{U.F.P-L.F.P}$ ;
Where L.F.P = Lower Fixed Point
U.F.P = Upper Fixed Point
$\frac{C-0}{100-0}=\frac{F-32}{212-32}$
$\frac{C}{100}=\frac{F-32}{180}$
$\frac{C}{5}=\frac{(F-32)}{9}$