Insert 5 rational numbers between
(i) – ⅓ and – ⅔
(ii) ¼ and ½
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(1) n+1=5+1=6
N=number of rational number to find
(-1/3)*6=-6/18
(-2/3)*6=-12/18
Therefore, 5 rational number between-1/3 and -2/3 are -7/18,-8/18,-9/18,-10/18,-11/18
(2) do dinominater same
LCM of 4,2 is 4
(1/2)*2=2/4
So numbers are 1/4 and 2/4
Now
N+1=5+1=6
(1/4)*6=6/24
(2/4)*6=12/24
Therefore 5 rational number between 1/4 and 1/2 are 7/24,8/24,9/24,10/24,11/24
Here’s the answer...
N=number of rational number to find
(-1/3)*6=-6/18
(-2/3)*6=-12/18
Therefore, 5 rational number between-1/3 and -2/3 are -7/18,-8/18,-9/18,-10/18,-11/18
(2) do dinominater same
LCM of 4,2 is 4
(1/2)*2=2/4
So numbers are 1/4 and 2/4
Now
N+1=5+1=6
(1/4)*6=6/24
(2/4)*6=12/24
Therefore 5 rational number between 1/4 and 1/2 are 7/24,8/24,9/24,10/24,11/24
Here’s the answer...
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