Question

find five rational number between-2/5 and 1/2​

Answer 1

Answer: -3/10, -2/10, -1/10, 1/10 2/10

Step-by-step explanation:

=> -2/5 and 1/2

=> LCM of 5,2 is 10

=> -4/10 and 5/10

=> -3/10, -2/10, -1/10, 1/10, 2/10

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Answer 2

Given: Two rational numbers -   $\frac{-2}{5}$ and $\frac{1}{2}$

To find: Five rational numbers between the given numbers

Solution: The given rational numbers have different denominators. First we need to make their denominators same.

LCM of denominators 5 and 2 = 10

Now, $\frac{-2}{5} = \frac{-2}{5}$ × $\frac{2}{2} = \frac{-4}{10}$ and $\frac{1}{2} = \frac{1}{2}$ × $\frac{5}{5} = \frac{5}{10}$

We know that -3, -2, -1, 0, 1 , 2 , 3 and 4 are integers between -4 and 5.

i.e. -4 < -3 < -2 < -1 < 0 < 1 < 2 < 3 < 4

We can choose any five rational numbers

Hence, five rational numbers between $\frac{-2}{5} \ and \ \frac{1}{2}$ are:

$\frac{-3}{10}, \frac{-1}{10}, \frac{1}{10}, \frac{2}{10} \ and \ \frac{3}{10}$.