Insert two rational numbers between – 1/3 and – 1/2.

Insert two rational numbers between – 1/3 and – 1/2 and arrange in ascending order.

Solution:

Given:
The rational numbers -1/3 and -1/2
By taking LCM and rationalizing, we get

Rational and Irrational Numbers Class 9 ICSE ML Aggarwal img 4

So, the rational number between -1/3 and -1/2 is -5/12
-1/3 > -5/12 > -1/2
Now, let us find the rational number between -1/3 and -5/12
By taking LCM and rationalizing, we get

Rational and Irrational Numbers Class 9 ICSE ML Aggarwal img 5

So, the rational number between -1/3 and -5/12 is -3/8
-1/3 > -3/8 > -5/12
Hence, the two rational numbers between -1/3 and -1/2 are
-1/3 > -3/8 > -5/12 > -1/2
The ascending is as follows: -1/2, -5/12, -3/8, -1/3

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