Question

insert three rational number between 4by13 and 1by13​

Answer 1

See the diagram

Using mean method :

R1 =1/2(4/13+1/13) = 1/2×5/13=5/26

R2=1/2(4/13+5/26) = 1/2(8/26+5/26)=1/2×13/26 = 13/52

R3=1/2(1/13+5/26)=1/2(2/26+5/26)=1/2×7/26=7/52

Therefore three rational numbers are 5/26,13/52and7/52

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