[tex]\dfrac{0.6}{0.5}=\dfrac{0.6\cdot10}{0.5\cdot10}=\dfrac{6}{5}\\\\therefore\\\\\dfrac{K}{13}=\dfrac{6}{5}\ \ \ \ |multiply\ both\ sides\ by\ 13\\\\13\cdot\dfrac{K}{13}=13\cdot\dfrac{6}{5}\\\\K=\dfrac{13\cdot6}{5}\\\\K=\dfrac{78}{5}\\\\K=\dfrac{75+3}{5}\\\\K=\dfrac{75}{5}+\dfrac{3}{5}\\\\\huge\boxed{K=15\dfrac{3}{5}}[/tex]
