Question

find five rational number between 1 and 2​

Answer 1

Solution

1 and 2

a b

1 rational number

=>(1/1*2/1)/2

=>(1+2/1)/2

=>3/1*1/2

=>3/2

1/1 < 3/2 < 2/1

2 rational number

=>(1/1*3/2)/2

=>(2+3/2)/2

=>5/2*1/2

=>5/4

1/1 < 5/4 < 3/2 < 2/1

3 rational number

=>(1/1*5/4)/2

=>(4+5/4)/2

=>9/4*1/2

=>9/8

1/1 < 9/8 < 5/4 < 3/2 < 2/1

4 rational number

=>(1/1*9/8)/2

=>(8+9/8)2

=>17/8*1/2

=>17/16

1/1 < 17/16 < 9/8 < 5/4 < 3/2 < 2/1

5 rational number

=>(1/1*17/16)/2

=>(17+16/16)/2

=>33/16*1/2

=>33/32

1/1 < 33/32 < 17/16 < 9/8 < 5/4 < 3/2 <2/1

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