# How many degrees celsius equals one degree fahrenheit?

Apr 7, 2016

Temperature in celsius is $- {17.22}^{o} C$

#### Explanation:

If $F$ is the temperature in Fahrenheit and $C$ is temperature in Celsius then

$\frac{F - 32}{180}$= $\frac{C - 0}{100}$

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

Hence if $F = 1$,

$\frac{C}{5} = \frac{1 - 32}{9} = - \frac{31}{9}$ and

$C = \frac{\left(- 31\right) \times 5}{9} = - \frac{155}{9} = - 17.22$

In case you want to know how many degrees Celsius temperature will rise or fall for every rise or fall by ${1}^{\circ}$ Fahrenheit,

we observe that relation $\frac{F - 32}{9} = \frac{C}{5}$ is

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

So for every rise or fall by ${1}^{\circ}$ Fahrenheit, it is $\frac{5}{9} = {0.555}^{\circ}$ Celsius and for every rise or fall by ${1}^{\circ}$ Celsius, it is $\frac{9}{5} = {1.8}^{\circ}$ Fahrenheit.