Question

Find the rational numbers between 8/7 and 7/8

Answer 1

LCM of 7 and 8 = 56



Hence,

$\frac{8}{7} = \frac{8 \times8 }{7 \times 8} = \frac{64}{56}$

And

$\frac{7}{8} = \frac{7 \times 7}{8 \times 7} = \frac{49}{56}$



Then,

$\frac{64}{56} > \frac{49}{56} \\ \\ => \frac{64}{56} > \frac{63}{56} > \frac{49}{56}$




A rational number is 63 / 56

On simplifing,


63 / 56 = 9 / 8 [ required rational number ]