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