Respuesta :

Answer:

[tex]-\frac{2}{9}[/tex]

Step-by-step explanation:

multiplying a positive and a negative equals a negative:

[tex]-\frac{5}{12}[/tex]×[tex]\frac{8}{15}[/tex]

Reduce the numbers with the greatest common factor, which is 5 in this case:

[tex]-\frac{1}{12}[/tex]×[tex]\frac{8}{3}[/tex]

Reduce again, the greatest common factor is now 4:

[tex]-\frac{1}{3}[/tex]×[tex]\frac{2}{3}[/tex]

Multiply the fractions:

[tex]-\frac{1}{3}[/tex]×[tex]\frac{2}{3}=[/tex] [tex]-\frac{2}{9}[/tex]

Hope this helps!!! <3