Question

Find five rational numbers between −4/

5

and −3/

4​

Answer 1

Since -4 / 5 and -3 / 4 have different denominators first we should make them like fractions.

LCM of 5 and 4 = 20

-4 / 5 = -16 / 20

-3 / 4 = -15 / 20

Now, there are no numbers between -15 and -16 we should multiply the rational numbers by a common number

Let's multiply both numerators and both denominators by 6.

-16 * 6 / 20 * 6 = -96 / 120

-15 * 6 / 20 * 6 = -90 / 120

Now -90 / 120 > -91 / 120 > -92 / 120 .. -96 / 120

5 required numbers =

-91 / 120

-92 / 120

-93 / 120

-94 / 120

-95 / 120