Question

List five rational numbers between -1/2 and 2/3 full explanation.
solve full sum with full explanation​

Answer 1

Step-by-step explanation:

HOPE IT WILL HELP YOU AND PLEASE MARK MY ANSWER AS BRILLIANT

Answer 2

Answer :-

• Five rational numbers between -1/2 and 2/3 are -2/6, -1/6, 1/6, 2/6 and 3/6.

Given :-

• Two rational numbers.

To find :-

• Five rational numbers between them.

Step-by-step explanation :-

• Here, we are asked to find three rational numbers between -1/2 and 2/3. So first we have to make their denominator same. For this, we have to find the LCM of their denominators [2, 3]

LCM of 2 and 3 :-

$\begin{array}{c | c} \underline2 & \underline{2, 3} \\ \underline3 & \underline{1, 3} \\ & 1, 1\end{array}$

Hence :-

• The LCM of 2 and 3 is 2 × 3 = 6.

-----------------------------------------------------------

Now, the given numbers can also be written as :-

$\dfrac{-1}{\:\:\:2} = \dfrac{-1 \times 3}{\:\:\:2 \times 3} = \dfrac{-3}{\:\:\:6}$

$\dfrac{2}{3} = \dfrac{2 \times 2}{3 \times 2} = \dfrac{4}{6}$

Now,

$\bf \dfrac{-3}{\:\:\:6} , \dfrac{-2}{\:\:\:6} , \dfrac{-1}{\:\:\:6} \: .... \: \dfrac{4}{6}$

We can choose any five rational numbers from here.

Hence :-

• Five rational numbers between -1/2 and 2/3 are -2/6, -1/6, 1/6, 2/6 and 3/6.

_________________________