Question

Find a rational number between 1/4 & 1/3 and by mean method

Answer 1

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

Answer 2

Question:-

Find a rational number between 1/4 & 1/3 and by mean method

Solution:-

The rational number between 1/4 and 1/3 is 7/24.

To find:

Rational number between 1/4 and 1/3  

Solution:

When we want to find out rational number between two rational numbers, we have to take the arithmetic mean of those two numbers. Hence, if we want to find rational number between 1/4 and 1/3, we will have to calculate their arithmetic mean.

=1/2*(1/4+1/3)

=1/2*(3/12+4/12)

=1/2*(7/12)

=7/24

Hence, the rational number between 1/4 and 1/3 is 7/24.