Question

Find four rational numbers between 1/5 and 1/6

Answer 1

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.

Answer 2

Answer:

rationals between 1/5 and 1/6 are 26/30,27/30,2 8/30,29/30

Step-by-step explanation:

FIND LCM, LCM=30

=1 X 6/5 X 6 &   1 X 5/6 X 5

=6/30, 5/30

MULTIPLY BY 5 IN NUMERATORS

6 X 5/30, 5 X 5/30

30/30, 25/30