Answer:

First take LCM of 4,2 = 4

- 1/4 × 1/1 = - 4/4

1/2 × 2/2 = 2/4

So, five rational numbers between - 4/4 and 2/4 or -1/4 and 1/2 are - 3/4, - 2/4, - 1/4, 0/4, 1/4.

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Verified answer

Answer:

Hey mate your answer is below!!

Step-by-step explanation:

Question:-

Find the five rational numbers between

Find the five rational numbers between -1/4 and 1/2

Solution:-

So we have to find five rational numbers between -1/4 and 1/2

So first we take lcm to make the two Denominators same

Lcm is 4

[tex] - \frac{1 \times 1}{4 \times 1} \: and \: \frac{1 \times 2}{2 \times 2} \\ [/tex]

[tex] \longmapsto \: - \frac{1}{4} \: and \: \frac{2}{4} \\ [/tex]

So in the question they have asked to find five rational but in rational number we can find only 2 rational numbers between them

So, we can again multiply the denominators of above rational number with any number

I am taking 10,

[tex]\longmapsto \: - \frac{1 \times 10}{4 \times 10} and \: \frac{2 \times 10}{4 \times 10} \\ [/tex]

[tex]\longmapsto \: - \frac{10}{40} \: and \: \frac{20}{40} \\ [/tex]

The five rational numbers between -1/4 and 1/2 are,

[tex] - \frac{9}{40} , - \frac{8}{40} , - \frac{7}{40} , - \frac{6}{40} , - \frac{5}{40} \\ [/tex]