K =
(F - 32) + 273.15
To cancel out the 5/9, you can either multiply everything by the denominator and divide it down, or multiply everything by the reciprocal of the fraction (
. Multiplying by the reciprocal is definitely easier if you can use a calculator:
K = (F - 32) + 491.67
Subtract 491.67 from both sides:
K - 491.67 = F - 32
Finish off by adding 32 to both sides:
K - 459.67 = F
Therefore, F =
K - 459.67.
Hope this helps! :)