find three rational numbers between 2/3 and 3/5
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Let three rational numbers between 2/3 and 3/5 be x1 , x2 & x3
x1= 1/2(2/3+3/5)
=1/2(19/15)
= 1/2×19/15
= 19/30
x2= 1/2(2/3+19/30)
= 1/2(39/30)
= 1/2× 39/30
= 39/60
x3= 1/2(3/5+39/60)
= 1/2(75/60)
= 1/2×75/60
75/120
Hence, three rational numbers between 2/3 and 3/5 are 19/30,39/60 & 75/120 (Answer)
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