Question

3. List five rational numbers between -1/2 and 2/3.

Answer 1

$\bf\pink{QuestioN:-}$

List five rational numbers between -1/2 and 2/3.

$\bf\purple{AnsweR:-}$

• We need to find 5 rational numbers between $\dfrac{-1}{2}$  &   $\dfrac{2}{3}$  .

• For this first we must make the denominators same.

• For making denominators same we need to find its LCM.

• LCM of 2 & 3 is 6.

• So the next step is to make the denominators of both this fractions same.

      $\longrightarrow\bf{\dfrac{-1}{2}=\dfrac{-1\times3}{2\times3}=\dfrac{-3}{6}$

        $\longrightarrow\bf{\dfrac{2}{3}=\dfrac{2\times2}{3\times2}=\dfrac{4}{6}$

• Now we had converted both the denominators same.

• We got the fractions as $\bf\dfrac{-3}{6}\:\bf,\:\dfrac{4}{6}$.

• We can now list the rational numbers between these.

• They are,

                -2/6 , -1/6, 1/6, 2/6, 3/6.

The required answer is

                  $\huge{\boxed{\boxed{\bf{\dfrac{-2}{6},\dfrac{-1}{6},\dfrac{1}{6},\dfrac{2}{6},\dfrac{3}{6}}}}}}$

Done !!☺