(5/6)*(1/13)+(5/9)*(2/13)+(5/18)*(6/13)
=(1/13)*(5/6+(5/9)*2+(5/18)*6)
=(1/13)*(5/6+10/9+30/18)
=(1/13)*(1/3)*(5/2+10/3+30/6)
=(1/13)*(1/3)*(15/6+20/6+30/6)
=(1/13)*(1/3)*(65/6)
=65/234
=5/18
(5/6)*(1/13)+(5/9)*(2/13)+(5/18)*(6/13)
=(1/13)*(5/6+(5/9)*2+(5/18)*6)
=(1/13)*(5/6+10/9+30/18)
=(1/13)*(1/3)*(5/2+10/3+30/6)
=(1/13)*(1/3)*(15/6+20/6+30/6)
=(1/13)*(1/3)*(65/6)
=65/234
=5/18