Question

Find three rational numbers between-2/3 and 1/6 by the method of finding out the mean of the two numbers.
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Answer 1

Answer:

Step-by-step explanation:

-2/3=-2/3*2/2=-4/6    (making denominators similar)

1/6

mean=-4/6+1/6/2

=-3/6/2

=-3/6*1/2=-3/12

Now, finding mean of -2/3 and -3/12

-2/3=-2/3*4/4=-8/12      (making denominators similar)

-3/12

mean= -8/12-3/12/2

=-11/12/2

=-11/12*1/2= -11/24

Now, finding the mean of -3/12 and -11/24

-3/12*2/2= -6/24     (making denominators similar)

-11/24

mean= -6/24-11/24/2

=-17/24/2

=-17/24*1/2= -17/48

Therefore, tree rational numbers between -2/3 and 1/6 are : -3/12, -11/24, -17/48.

Hope it helped :)