Answer:
[tex]\frac{a}{b}=\frac{1}{4}[/tex]
Thus, the ratio is:
a:b = 1:4
Step-by-step explanation:
Given the expression
[tex]2a-\frac{b}{6}=\frac{b}{3}[/tex]
[tex]\mathrm{Add\:}\frac{b}{6}\mathrm{\:to\:both\:sides}[/tex]
[tex]2a=\frac{b}{2}[/tex]
Divide both sides by 2
[tex]\frac{2a}{2}=\frac{\frac{b}{2}}{2}[/tex]
[tex]a=\frac{b}{4}[/tex]
Divide both sides by b
[tex]\frac{a}{b}=\frac{1}{4}[/tex]
Thus, the ratio is:
a:b = 1:4
