Question

find six rational numbers between 3 and 4​

Answer 1

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A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2.

• A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2.Then, 3 < 7/2 < 4

• A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2.Then, 3 < 7/2 < 4A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2)

• A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2.Then, 3 < 7/2 < 4A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2)= 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4

• A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2.Then, 3 < 7/2 < 4A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2)= 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1)

• A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2.Then, 3 < 7/2 < 4A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2)= 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1)= 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4

• A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2.Then, 3 < 7/2 < 4A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2)= 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1)= 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4.

• Therefore, 3 < 13/4 < 7/2 < 15/4 < 4

Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.

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Answer 2

Answer:

the six rational number between 3 and 4 are 22/7,23/7,24/7,25/7,26/7.