Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
We are given that two rational numbers [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{12}[/tex]
We have to find a rational number between [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{12}[/tex].
Let c be the rational number lie between [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{12}[/tex].
[tex]c=\frac{a+b}{2}[/tex]
Where a and b are rational number
[tex]a=\frac{1}{6}, b=\frac{1}{12}[/tex]
Therefore, [tex]c=\frac{\frac{1}{6}+\frac{1}{12}}{2}[/tex]
[tex]c=\frac{\frac{2+1}{12}}{2}=\frac{3}{12\times 2}=\frac{1}{8}[/tex]
Hence, the rational number between [tex]\frac{1}{6}[/tex] and [tex]\frac{1}{12}[/tex] =[tex]\frac{1}{8}[/tex]
