Question

Find five rational number between 1 by 4 and 1 by 5

Answer 1

Step-by-step explanation:

1/5 < 1/4

multiply both Nr and Dr by LCM of 5 and 4 => 20

1/5*4/4 < 1/4*5/5

=> 4/20 < 5/20

now multiply both Nr and Dr by n + 1 where n = 5

[ n = number of rational numbers to be obtained ]

therefore n + 1 => 5 + 1 => 6

=> 4/20*6/6 < 5/20*6/6

=> 24/120 < 30/120

therefore 5 rational numbers between 1/5 and 1/4 are,

25/120 < 26/120 < 27/120 < 28/120 < 29/120