Given the ratios 1:4 and 4:6
So,
[tex]\begin{gathered} 1\colon4=\frac{1}{4} \\ 4\colon6=\frac{4}{6}=\frac{2}{3} \end{gathered}[/tex]So, the statement (a) is False
---------------------------------------------
b) About the ratios 8:24 and 4:12
[tex]\begin{gathered} 8\colon24=\frac{8}{24}=\frac{8\times1}{8\times3}=\frac{1}{3} \\ 4\colon12=\frac{4}{12}=\frac{4\times1}{4\times3}=\frac{1}{3} \end{gathered}[/tex]So, the statement (b) is True