Question

Please help me

please help me out with these (a) I don't know how to solve this (a) 2 and 3

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Answer 1

Explanation:

Rational number between 2 and 3 =
`(2+3)/(2)=(5)/(2)`

`2 < (5)/(2) < 3`

Now, find the rational number between 2 and 5/2

Rational number between 2 and 5/2 =
`(1)/(2)(2 + (5)/(2))=(1)/(2)*((2*2)/(1*2)+(5)/(2))=(1)/(2)((4)/(2)+(5)/(2))=(1)/(2)*(9)/(2)=(9)/(4)`

`2 < (9)/(4) < (5)/(2) < 3`

Rational number between 5/2 and 3 is

`= (1)/(2)((5)/(2)+3)=(1)/(2)((5)/(2)+(3*2)/(1*2))=(1)/(2)*((5)/(2)+(6)/(2))=(1)/(2)*(11)/(2)=(11)/(4)`

Rational numbers between 2 and 3 are

9/4 , 5/2 , 11/4