Five rational numbers between1/2 and 2/3?

Answers (1)

The given number 

                             $$ frac12 and frac23$$ \ $$

We can write as, 

                              $$ frac12 = frac12 	imes frac33 = frac36 $$ \$$ $$ frac23 = frac23 	imes frac22 = frac46 $$

Now

                      $$ frac36 = frac36 	imes frac1010 = frac3060 $$ \$$ $$ frac46 = frac46 	imes frac1010 = frac4060 $$

then five rational number between 

                                               $$ frac3060 and frac4060 $$  is given below 

                                                                                       $$ frac3160, frac3260, frac3460, frac3560, frac3660$$

Hence, five rational number 

                                          $$ frac3160, frac3260, frac3460, frac3560, frac3660$$

 

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