Question

insert four rational numbers between -7/5 and -2​

Answer 1

Step-by-step explanation:

-7/5 and -2/1

LCM of 5 and 1=5

-7/5 × 1 = -7/5

-2/1 × 5 =-10/5

-7/5 and -10/5 contains only 2 rational numbers between them, so we can multiply the denominators with 3

-7/5 × 3 = -21/15

-10/5 × 3 = -30/15

So, there are 8 rational numbers between

-21/15 and -30/15

They are -22/15,-23/15,-24/15,-25/15,-26/15,-27/15,-28/15,-29/15.

We can choose any four of them.

Let is choose,-22/15,-23/15,-24/15 and -25/15.

We can also simplify -24/15 and -25/15

=-8/5 and -5/3

So rational numbers between -7/5 and -2 are -22/15,-23/15,-8/5 and -5/3.

Hope it helped You dear