Insert three rational numbers between 1/3 and 4/5, and arrange in descending order.
Solution:
Given:
The rational numbers 1/3 and 4/5
By taking LCM and rationalizing, we get
So, the rational number between 1/3 and 4/5 is 17/30
1/3 < 17/30 < 4/5
Now, let us find the rational numbers between 1/3 and 17/30
By taking LCM and rationalizing, we get
So, the rational number between 1/3 and 17/30 is 27/60
1/3 < 27/60 < 17/30
Now, let us find the rational numbers between 17/30 and 4/5
By taking LCM and rationalizing, we get
So, the rational number between 17/30 and 4/5 is 41/60
17/30 < 41/60 < 4/5
Hence, the three rational numbers between 1/3 and 4/5 are
1/3 < 27/60 < 17/30 < 41/60 < 4/5
The descending order is as follows: 4/5, 41/60, 17/30, 27/60, 1/3
More Solutions:
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