To find the difference between the rates of the runners, we have to do
subtraction
[tex]\because d=\frac{1}{2}-\frac{1}{3}[/tex]To do the subtraction we must make the denominators the same
∵ The lowest common multiple of 2 and 3 is 6
[tex]\begin{gathered} \therefore d=\frac{1\times3}{2\times3}-\frac{1\times2}{3\times2} \\ \therefore d=\frac{3}{6}-\frac{2}{6} \end{gathered}[/tex]Now we can subtract their numerators
[tex]\begin{gathered} \because d=\frac{3}{6}-\frac{2}{6} \\ \therefore d=\frac{1}{6} \end{gathered}[/tex]The difference is 1/6