Find three rational numbers between 1/4 and 1/5
Solution:
Given, 1/4 and 1/5
We have to find three rational numbers between 1/4 and 1/5.
The rational numbers between a and b is given by (a+b)/2
First rational number:
Let a = 1/4 and b = 1/5
a + b = 1/4 + 1/5
= (5 + 4)/20
= 9/20
(a + b)/2 = (9/20)/2
= 9/40.
Therefore, the first rational number is 9/40.
Second rational number:
Let a = 1/4 and b = 9/40.
a + b = 1/4 + 9/40
= (10 + 9)/40
= 19/40
= 19/40
(a + b)/2 = (19/40)/2
= 19/80.
Therefore, the second rational number is 19/80.
Third rational number:
Let a = 1/4 and b = 19/80
a + b = 1/4 + 19/80
= (20 + 19)/80
= 39/80
(a + b)/2 = (39/80)/2
= 39/160
Therefore, the third rational number is 39/160.
✦ Try This: Find three rational numbers between 0.01 and 1.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1
NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 2(iv)
Find three rational numbers between 1/4 and 1/5
Summary:
The three rational numbers between 1/4 and 1/5 are 9/40, 19/80 and 39/160
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