Our Equation is
[tex]6a=5b[/tex]
which means
[tex]a = 5b/6[/tex]
Now we have to find this ration
[tex]\frac{a+b}{b}[/tex]
Inserting value of a into this equation
[tex]=\frac{\frac{5b}{6}+b}{b}[/tex]
[tex]=\frac{\frac{11b}{6}}{b}[/tex]
[tex]=\frac{11b}{6b}[/tex]
[tex]=\frac{11}{6}[/tex]