Answer
(a) $37^{\circ}C$
(b) $310.2K$
Work Step by Step
(a) We know that
$T_C=\frac{5}{9}(T_F-32^{\circ}F)$
We plug in the known values to obtain:
$T_C=\frac{5}{9}(98.6^{\circ }F-32^{\circ}F)$
$T_C=37^{\circ}C$
(b) As $T_K=T_C+273.15K$
We plug in the known values to obtain:
$T_K=37K+273.15K=310.2K$