Question

find the rational numbers between 2/4 and 5/6 by using average concept​

Answer 1

Answer:

Question 1 :

Using average, write 3 rational numbers between (14/5) and (16/3)

Solution :

Let a  =  14/5, b = 16/3

Let c, d, e be the 3 rational numbers between the given numbers.

c  =  (a + b)/2

c  =  [(14/5) + (16/3)]/2  

L.C.M (5, 3)  =  15

c  =  (42 + 80)/30

c  =  122/30

c  =  61/15

d  =  (a + c)/2

d  =  [(14/5) + (61/15)]/2  

d  =  (42 + 61)/30

d  =  103/30

e  =  (a + d)/2

e  =  [(14/5) + (103/30)]/2  

e  =  (84 + 103)/60

e  =  187/60

So, the three rational numbers between the given numbers are 61/15, 103/30 and 187/60

Question 2 :

Verify that −(−x) is the same x for:

(i)  x  =  11/15

Solution :

-(-x)  =  - (-11/15)   =  11/15

(ii)  x  =  -31/45

Solution :

x  =  -31/45

-x  =  -(-31/45)

-x  =  31/45

-(-x)  =  -31/45

Hence proved.

Step-by-step explanation:

I am sure my answer is right and I help your question

Answer 2

Answer:

(2/4+5/6)/2 = 2/3

(2/3+2/4)/2 = 7/12

Step-by-step explanation: