Question

use the method of averages to write two rational number between 1.4/5and 16/3​

Answer 1

Answer:

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

Step-by-step explanation:

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