Question

write 5 rational number between 2 by 5 & -1 by 6​

Answer 1

Answer:

2/5,4/10,6/15,8/20,10/25,12/30 and

-1/6,-2/12,-3/18,-4/24,-5/30,-6/36

Answer 2

Answer :-

• 5 rational numbers between 2/5 and -1/6 are -4/30, -3/30, -2/30, -1/30 and 1/30.

Given :-

• Two rational numbers 2/5 and -1/6.

To find :-

• 5 rational numbers between them.

Step-by-step explanation :-

• Before finding 5 rational numbers between 2/5 and -1/6, we have to first make their denominators same. For doing this, let's find the LCM of their denominators!

$\begin{array}{c | c} \underline2 & \underline{5, 6} \\ \underline3 & \underline{5, 3} \\ \underline5&\underline{5, 1} \\ & 1, 1 \end{array}$

Hence :-

• The LCM of 5 and 6 is 2 × 3 × 5 = 30.

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

$\dfrac{2}{5} = \dfrac{2 \times 6}{5 \times 6} = \dfrac{12}{30}$

$\dfrac{-1}{\:\:\:6} = \dfrac{-1 \times 5}{\:\:\:\:6 \times 5} = \dfrac{-5}{\:30}$

Now,

$\bf \dfrac{-5}{30} , \dfrac{-4}{30} , \dfrac{-3}{30} \: .... \: \dfrac{12}{30}$

We can choose any 5 rational numbers from here.

Hence :-

• 5 rational numbers between 2/5 and -1/6 are -4/30, -3/30, -2/30, -1/30 and 1/30.