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How find how find six rational …

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How find how find six rational number between three and 4 right
  • 2 answers

Gaurav Seth 3 years, 9 months ago

 

There can be infinitely many rational numbers between 3 and 4.



Thus, six ratonal numbers between 3 and 4 are   .

OR



Thus, six rational numbers between 3 and 4 can be taken as  

Gaurav Seth 3 years, 9 months ago

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 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 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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