The symbol \diamondsuit is defined so that \displaystyle a\diamondsuit b=\frac{a+b}{a\times b}. For example, \displaystyle2\diamondsuit5=\frac{2+5}{2\times5}=\frac{7}{10}. What is the value of 3\diamondsuit6?
Answer Choices
A. 9
B. \displaystyle\frac{1}{18}
C. \displaystyle\frac16
D. 2
E. \displaystyle\frac12