Question

Find a rational numbers lying between 1/3 and 1/2​

Answer 1

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Let

• x = 1/3
• y = 1/2

=> required rational number lying between x and y

= 1/2(x+y)

= 1/2 (1/3+1/2)

= 1/2x5/6

= 5/12

• Hence, 5/12 is a rational number lying between 1/2 and 1/3

Answer 2

Explanation:

The rational numbers lying between is 1 / 3 and 1 / 2 . Therefore , 1 / 3 < 3 / 8 < 1 / 2. Therefore , 5 /12 < 11 / 24 < 1 / 2.

Hence, 512 is a rational number lying between 13 and 12.