Answer:
[tex]$\frac{65}{112}$[/tex]
Step-by-step explanation:
A rational number lying halfway between [tex]$\frac{7}{8} \text{ and } \frac{2}{7} $[/tex] is:
[tex]$\frac{1}{2} \left ( \frac{7}{8} +\frac{2}{7} \right)$[/tex]
[tex]$\frac{1}{2} \left ( \frac{7(7)}{8(7)} +\frac{2(8)}{7(8)} \right)$[/tex]
[tex]$\frac{1}{2} \left ( \frac{49}{56} +\frac{16}{56} \right)$[/tex]
[tex]$\frac{1}{2} \left ( \frac{65}{56} \right)$[/tex]
[tex]$\frac{65}{112}$[/tex]
