Question

insert rational and irrational number between 1/3 and 1/2
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Answer 1

Rational number

½(⅓+½)

1/2×5/6

5/12

Similarly there are infinite rational numbers.

⅓=0.33333…

½=0.5

Hence there are infinite irrational numbers which are neither terminating not recurring.

ex:- 0.43907…

0.356754…

Hope it helps u

Answer 2

$rational \: and \: irratiomal \: number \\ between\\ \frac{1}{3} \: and \: \frac{1}{2} \\ \frac{1}{3} \times \frac{10}{10} \: and \: \frac{1}{2} \times \frac{10}{10} \\ \frac{10}{30} and \frac{10}{20} \\ \\ \frac{11}{20} \: \frac{12}{20} and \: many \: rational \: no \: we \: can \: find$

this is your answer