Question

Give 3 rational and irrational no. between 1/2 and 1/3

Answer 1

Hey dear here is your answer!!!!!

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Let's split the question into 2 parts:-

(A) 3 Rational Number:-

Multiply  $\frac{1}{2}$  by $\frac{3}{3}$ and $\frac{1}{3}$ by and $\frac{2}{2}$.

We get $\frac{3}{6}$ and $\frac{2}{6}$.

Now, they are like fractions.

Multiply both with and $\frac{4}{4}$

We obtain $\frac{4}{24}$ and and $\frac{8}{24}$

Three rational numbers between them now are $\frac{5}{24}$, $\frac{6}{24}$ and $\frac{7}{24}$

(B) 3 irrational numbers:-

Firstly, convert them into decimal form.

We get 0.5 and 0.33....

So, we have to look for 3 numbers that have non-ending decimal expansion.

We take 0.34344344434444..... , 0.35355355535555 and 0.36366366636666.

That's it !

❣️⭐ Hope it helps you dear...⭐⭐❣️❣️