Answer:
1/24
Explanation:
First, we need to find the difference between 2/3 and 1/2 which means that we need to subtract 1/2 from 2/3;
[tex]\begin{gathered} \frac{2}{3}-\frac{1}{2} \\ \Rightarrow\frac{4-3}{6} \\ \Rightarrow\frac{1}{6} \end{gathered}[/tex]So the difference between 2/3 and 1/2 is 1/6. To find one fourth of 1/6, we have to multiply 1/6 by 1/4;
[tex]\frac{1}{4}\ast\frac{1}{6}=\frac{1}{24}[/tex]So one-fourth of the difference between 2/3 and 1/2 is 1/24