# List three rational numbers between 4/5 and 5/6.

**Solution:**

Given, rational numbers are 4/5 and 5/6.

We have to find three rational numbers between 4/5 and 5/6.

To find the first rational number,

1/2 ((4/5) + (5/6)) = 1/2 ((4(6) + 5(5))/6(5)

= 1/2 (24 + 25)/30

= 49/60

To find a second rational number,

1/2 ((4/5) + (49/60)) = 1/2 (4(60) + 49(5))/5(60)

= 1/2 (240 + 245)/300

= 485/600

= 97/120

To find the third rational number,

1/2 ((49/60) + (5/6)) = 1/2 (49(6) + 60(5))/6(60)

= 1/2 (294 + 300)/360

= 594/720

= 297/360

= 99/120

= 33/40

Therefore, the three rational numbers are 49/60, 97/120 and 33/40

**✦ Try This: **List three rational numbers between 3/5 and 4/5 .

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 9

**NCERT Exemplar Class 7 Maths Chapter 8 Sample Problem 10**

## List three rational numbers between 4/5 and 5/6.

**Summary:**

The three rational numbers between 4/5 and 5/6 are 49/60, 97/120 and 33/40

**☛ Related Questions:**

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