Question

Insert three rationalnumbers between −2/5and 2/3

Answer 1

Hi,

a ) 3/5 = ( 3 × 3 ) / ( 5 × 3 ) = 9/15

= 18/30 = 36/60

b ) 2/3 = ( 2 × 5 ) / ( 3 × 5 ) = 10/15

= 20/30 = 40/60

[ 3/5 = 36/60 ] < 37/60< 38/60<39/60< [ 40/60 = 2/3 ]

Therefore,

Required 3 numbers are,

37/60, 38/60, 39/60

I hope this helps you.

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