## Thinking Mathematically (6th Edition)

$C = \frac{5}{9}~(F-32)$
The formula used to convert from Celsius to Fahrenheit is as follows: $F = \frac{9}{5}C+32$ We can solve this formula for C to derive the formula used to convert from Fahrenheit to Celsius. $F = \frac{9}{5}C+32$ $F-32 = \frac{9}{5}C$ $5~(F-32) = 9~C$ $\frac{5}{9}~(F-32)=C$ $C = \frac{5}{9}~(F-32)$