Question

find three rational numbers between 4 and 5​

Answer 1

Answer:

To find a rational number x between two rational numbers abab and cd,cd, we use x=12(ab+cd)x=12(ab+cd) Therefore, to find rational number x (let) between 4 and 5 x=12(4+5)x=12(4+5) ⇒⇒ x=12×9x=12×9 ⇒⇒ x=92x=92 Now if we find a rational number between 4 and 9292 it will also be between 4 and 5 since 9292 lies between 4 and 5 Therefore, to find rational number y (let) between 4 and 9292 y=12(4+92)y=12(4+92) ⇒⇒ y=12(8+92)y=12(8+92) ⇒⇒ y=12×172y=12×172 ⇒⇒ y=174y=174 Now if we find a rational number between 9292 and 5 it will also be between 4 and 5 since 9292 lies between 4 and 5 Therefore, to find rational number z (let) between 9292and 5 z=12(92+5)z=12(92+5) ⇒⇒ z=12(9+102)z=12(9+102) ⇒⇒ z=12×192z=12×192 =19/4

Answer 2

the answer will be 17/4, 18/4, 19/4