Respuesta :

The rational number is equal to -31/40

Data;

  • product = -49 3/5
  • number = 64

What is a rational number

This is a number that is usually expressed in fraction where both the numerator and denominator are integers.

Let the unknown number be represented by x

[tex]64*x=-49\frac{3}{5}\\64x=-\frac{248}{5}\\[/tex]

Let's solve for x

[tex]64x=-\frac{248}{5} \\\\5*64x=-248\\320x=-248\\x=-\frac{248}{320}\\x= -\frac{31}{40}[/tex]

From the calculations above, the rational number is -31/40

Learn more on rational numbers here;

https://brainly.com/question/12088221