Question

Find 23 rational number between -4/6 and 1/6

Answer 1

Answer:

A rational number between 1/5 and 1/6 would be 1/2(1/5 + 1/6) = 1/2([6+5]/30) = 1/2(11/30) = 11/60

Now, 1/5 < 11/60 < 1/6

A rational number between 1/5 and 11/60 is 1/2([12+11]/60) = 1/2(23/60) = 23/120

And now, a rational number between 11/60 and 1/6 is 1/2([11+10]/60) = 1/2(21/60) = 21/120

That is, 1/5 < 23/120 < 11/60 < 21/120 < 1/6

So the required rational numbers are, 23/120, 11/60 and 21/120

HOPE IT HELPS  :)

Answer 2

Answer:

-23/36,-22/36,-21/36,-20/36,-19/36,-18/36,-17/36,-16/36,-15/36,-14/36,-13/36,-12/36,-11/36,-10/36,-9/36,-8/36,-7/36,-6/36,-5/36,-4/36,-3/36,-2/36,-1/36,-0/36,1/36,2/36.