Question

List four rational numbers between $\frac{5}{7}$ and $\frac{7}{8}.$

Answer 1

Given rational numbers are $\frac{5}{7}$ and $\frac{7}{8}$
For making the same denominators:
LCM of $7$ and $8=56$
$\frac{5\times 8}{7\times 8}=\frac{40}{56}$ and $\frac{7\times 7}{8\times 7}=\frac{49}{56}$
So, four rational numbers between $\frac{40}{56}$ and $\frac{49}{56}$ are
$\frac{42}{56},\frac{44}{56},\frac{46}{56},\frac{48}{56}$