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# Find three rational numbers between 5/7 and 6/7

**Solution:**

Given, 5/7 and 6/7

We have to find three rational numbers between 5/7 and 6/7.

The rational numbers between a and b is given by (a+b)/2

First rational number:

Let a = 5/7 and b = 6/7

a + b = 5/7 + 6/7

= (5 + 6)/7

= 11/7

(a + b)/2 = (11/7)/2

= 11/14

Therefore, the first rational number is 11/14.

Second rational number:

Let a = 5/7 and b = 11/14

a + b = 5/7 + 11/14

= (10 + 11)/14

= 21/14

= 3/2

(a + b)/2 = (3/2)/2

= 3/4

Therefore, the second rational number is 3/4.

Third rational number:

Let a = 5/7 and b = 3/4

a + b = 5/7 + 3/4

= (20 + 21)/28

= 41/28

(a + b)/2 = (41/28)/2

= 41/56

Therefore, the third rational number is -9/8.

**✦ Try This: **Find three rational numbers between 2/3 and 3/4.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 1

**NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 2(iii)**

## Find three rational numbers between 5/7 and 6/7

**Summary:**

The three rational numbers between 5/7 and 6/7 are 11/14, 3/4 and 41/56

**☛ Related Questions:**

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