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# 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

**☛ Related Questions:**

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