Question

Rational Number Blocks Application of Mean Method for Rational Number The given four Rational numbers are on the base of block. Find the Rational number a between 4/9,3/8. Find the Rational number b between 3/8,5/6. Find the Rational number c between 5/6,4/2. Carry on the procedure until f is found.

Answer 1

Answer:

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

Step-by-step explanation: