# On a hot day, the thermometer read 95°F. What is the temperature in degrees Celsius?

Feb 10, 2016

${35}^{\circ} \text{C}$

#### Explanation:

We can convert from Fahrenheit to Celsius using the formula:

$c = \frac{5}{9} \left(f - 32\right)$

or from Celsius to Fahrenheit using the formula:

$f = \frac{9}{5} c + 32$

where $f$ represents degrees Fahrenheit and $c$ represents degrees Celsius.

In our example $f = 95$ and we want to find $c$, ...

$c = \frac{5}{9} \left(f - 32\right) = \frac{5}{9} \left(95 - 32\right) = \frac{5}{9} \cdot 63 = 35$