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
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