Question

Insert 5 rational numbers between :
3 / 7 and -1 / 5.​

Answer 1

First take the LCM of 3/7 and -1/5.

Now. 7×5= 35.

3/7 ×5/5= 15/35.

and.

-1/5 × 7/7 = -7/35.

Now, Rational number between 15/35. and. -7/35

14/35, 13/35, 12/35, 11/35, 10/35, 9/35....... -6/35

Hope this helps you ❤️☑️⬆️

Answer 2

Answer:

The correct answer of this question is $\frac{-24}{105} , \frac{-25}{105}, \frac{-26}{105}, \frac{-27}{105}, \frac{-28}{105}$

Step-by-step explanation:

Given -  Insert 5 rational numbers.

To Find - Insert 5 rational numbers between : 3 / 7 and -1 / 5.​

According to the question,

Take the LCM of $7$ and $5$ which is $35$

$\frac{3. 5 }{7. 5} = \frac{15}{35}$

$\frac{-1.7}{5.7} = \frac{-7}{35}$

Multiple both numerator and denominator  by 3

$\frac{15 . 3}{35 . 3} = \frac{-45}{105}$

$\frac{7 . 3 }{35 . 3} = \frac{21}{105}$

So, the rational numbers are $\frac{-22}{105} , \frac{-23}{105}$

Rational number are

$\frac{-24}{105}, \frac{-25}{105}, \frac{-26}{105},\frac{-27}{105},\frac{-28}{105}$

#SPJ3