Question

find the rational numbers between -5/3 andd-8/7​

Answer 1

Answer:

-25/21,-26/21,-27/21,-28/21,-29/21,etc.

Answer 2

Answer:

-34/21,-33/21,-32/21.

Step-by-step explanation:

Suppose we wish find 3 rational numbers between -5/3 and -8/7

-5/3 , -8/7

Taking LCM of 3 and 7 =3*7=21

Then numbers become

-5*7/21 , -8*3/21

-35/21 , -24/ /21

Now can write any number between the numerator while keeping the denominator =21

So Such Rational numbers are:

-34/21,-33/21,-32/21..............-25/21

Or -25/21,-26/21,27/21........34/21