Let a number = x

So,

\(x\times\frac{-8}{13}=24\)

x = (24) / (-8/13)

x = (24) × (13/-8)

= (3) × (13×-1)

= -39

Given product = 24

One of the number is = (-8/13)

Let the required number be x

x × (-8/13) = 24

x = 24 ÷ (-8/13)

x = 24 × (13/-8)

x = -39

Let us assume the other number be y.

Given, product of two rational number = 24

One number = -8/13

Then,

= y × (-8/13) = 24

= y = 24/ (-8/13)

= y = (24/1) × (-13/8)

= y = (3/1) × (-13/1)

= y = -39

So, the other number is -39