Question

find two rational numbers between -5/6 and
-2/8​

Answer 1

Answer:

the rational numbers between-5/6 and-2/8 are:

-7/24,-8/24,-9/24,-10/24,-11/24,-12/24,-13/24,-14/24,-15/24,-16/24,-17/24,-18/24,-19/24,-20/24,-22/24,

Step-by-step explanation:

lcm 24

-5/6×4/4=-20/24

-2/8×3/3=-6/24

now number between -20/24and-6/24

are:

-7/24,-8/24,-9/24,-10/24,-11/24,-12/24,-13/24,-14/24,-15/24,-16/24,-17/24,-18/24,-19/24,-20/24,-22/24,

and many more

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Answer 2

Answer :-

• Two rational numbers between -5/6 and -2/8 are -7/24 and -8/24.

Given :-

• Two rational numbers -5/6 and -2/8.

To find :-

• Two rational numbers between them.

Step-by-step explanation :-

• Here, we are asked to find three rational numbers between -5/6 and -2/8. So first we have to make their denominator same. For this, we have to find the LCM of their denominators [6, 8]

Finding the LCM of 6 and 8 :-

$\begin{array}{c | c} \underline2 & \underline{6, 8} \\ \underline2 & \underline{3, 4} \\ \underline2 & \underline{3, 2} \\ \underline3 & \underline{3, 1} \\ & 1, 1\end{array}$

Hence :-

• The LCM of 6 and 8 is 2 × 2 × 2 × 3 = 24.

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So, the given rational numbers can also be written as :-

$\sf{\dfrac{-5}{6} = \dfrac{-5 \times 4}{6 \times 4} = \dfrac{-20}{24}}$

$\sf{\dfrac{-2}{8} = \dfrac{-2 \times 3}{8 \times 3} = \dfrac{-6}{24}}$

Now,

$\bf\dfrac{ - 20}{ \: \: \: 24} , \dfrac{ - 19}{ \: \: \: 20} , \dfrac{ - 18}{ \: \: \: 20} \: ... \: \dfrac{ - 6}{24}$

We can choose any two rational numbers from here.

Hence :-

• Two rational numbers between -5/6 and -2/8 are -7/24 and -8/24.

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