Question

Find six rational number between 4 by 5
and 1

Answer 1

Heya ✋

Let x = 4/5 ; y = 1

y > x ; n = 6

d = y - x/n + 1

= (4/5 - 1)/(6 + 1)

= (4 - 5/5)/7

= (-1/5)/7

= -1/5 × 1/7

= -1/35

1st rational number = x + d

= 4/5 + (-1)/35

= 28 - 1/35

= 27/35

2nd rational number = x + 2d

= 4/5 + 2 × (-1)/35

= 4/5 + (-2)/35

= 28 - 2/35

= 26/35

3rd rational number = x + 3d

= 4/5 + 3 × (-1)/35

= 4/5 + (-3)/35

= 28 - 3/35

= 25/35

4th rational number = x + 4d

= 4/5 + 4 × (-1)/35

= 4/5 + (-4)/35

= 28 - 4/35

= 24/35

5th rational number = x + 5d

= 4/5 + 5 × (-1)/35

= 4/5 + (-5)/35

= 28 - 5/35

= 23/35

6th rational number = x + 6d

= 4/5 + 6 × (-1)/35

= 4/5 + (-6)/35

= 28 - 6/35

= 22/35

Hence , 6 rational numbers between 4/5 and 1 are 27/35 , 26/35 , 25/35 , 24/35 , 23/35 and 22/35.




Thanks :))))

Answer 2

Hii friend,

27/25 , 26/25 , 25/25 , 24/25 , 23/ 25 , 22/25 are the six rational Number between 4/5 and 1.