Given;
One dose equals 2/3 tablespoon
let x represent 1 tablespoon of medicine
And y represent one dose of medicine.
We can represent the problem with the equation below;
[tex]\begin{gathered} 1\text{ dose }\rightarrow\text{ }\frac{2}{3}\text{ tablespoon} \\ y=\frac{2}{3}x \end{gathered}[/tex]For one-half dose of the medicine, divide both sides by 2;
[tex]\begin{gathered} \frac{y}{2}=\frac{2}{3}x\times\frac{1}{2} \\ \frac{y}{2}=\frac{1}{3}x \end{gathered}[/tex]Therefore, one half dose will be 1/3 tablespoon.
[tex]\frac{1}{2}\text{ dose =}\frac{1}{3}\text{ tablespoon}[/tex]Above are the pictorial representation of the problem.