1.

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

Answer»

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 ]


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