[tex] K = \frac{5}{9}(F- 32) + 273.15 \\ K = \frac{5}{9}F - 17 \frac{7}{9} + 273.15 \\ K = \frac{5}{9}F + 255 \frac{67}{180} \\ \frac{5}{9}F= K- 255 \frac{67}{180} \\ F = \frac{K- 255 \frac{67}{180}}{ \frac{5}{9}} \\ To\ further\ simplify, \\ F = \frac{9(K- 255 \frac{67}{180})}{5} \\ F = \frac{9K- 2298.35}{5} [/tex]
