Question

List 3 rational numbers between -4/7 and 2/-3

Answer 1

Answer:

-12 , -11 , 13

21 21 21

Step-by-step explanation:

• First we should find the LCM , since the denominator aren't the same ....

Solution :-

3| 3,7

7| 1, 7

| 1, 1 ☆Therefore , LCM = 3 × 7 = 21

• Now we have to substitute the values , in order to get the denominator same ....

- 4 × 3 = -12 , 2 × 7 = 14

7 × 3 21 -3 × 7 -21

• Since , both the denominators are the same , now we can write the no.s between them

☆ Therefore , the rational no.s are :-

-12 , -11 , 13

21 21 21

Answer 2

Correct Question :

List 3 rational numbers between -4/7 and -2/3.

Given :

• -4/7 and -2/3

To find :

• 3 rational numbers between -4/7 and -2/3

Solution :

⇒ Let's find the LCM of the denominators.

3 | 7,3

7 | 7,1

   | 1,1

LCM = 7 × 3

        = 21

⇒ Now, we have to make the denominators the LCM.

-4/7 = -4 × 3/7 × 3

       = -12/21

-2/3 = -2 × 7/ 3 × 7

        = -14/21

⇒ Since, we don't have enough numbers between -12/21 and 14/21, we have to divide it by any number.

✨ Let's multiply with 10 here.

➼ -12 × 10/21 × 10 = -120/210

➼ -14 × 10/21 × 10 = -140/210

⇒ Now, we can list them.

-121/210, -122/210 and -123/210.

Therefore, the 3 rational numbers between -4/7 and -2/3 is -121/210, -122/210 and -123/210.