Question

insert three rational numbers between 3/5 and 2/3

Answer 1

Hello Mate!


Rational umber inserting = ( r + s ) / 2
= ( 3/5 + 2/3 ) ÷ 2
= ( 9 + 10 ) / 15 ÷ 2
= 19/15 × 1/2
= 19/30

In 3/5 and 19/30
= ( 3/5 + 19/30 ) ÷ 2
= 37/30 × 1/2
= 37/60

In 19/30 and 2/3

= ( 19/30 + 2/3 ) ÷ 2
= 39/30 × 1/2
= 39/60

3/5 < 37/60 < 19/30 < 39/60 < 2/3

Hope it helps☺!✌

Answer 2

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.

: )