Answer: >
Step-by-step explanation:
First, we need to evaluate the left side which is
[tex]\frac{-1}{9} \, \times \, \frac{3}{5}[/tex]
We multiply the numerator ( -1 × 3 = -3), and the denominator (9 × 5 = 45). This gives us:
[tex]\frac{-1}{9} \, \times \, \frac{3}{5} = \frac{-3}{45}[/tex]
Since the numerator and denominator have a common factor of 3, we can simplify this to
[tex]\frac{-3}{45} = \frac{-1}{15}[/tex]
This makes the inequality:
[tex]\frac{-1}{15}[/tex] _ [tex]\frac{-2}{15}[/tex]
Since -2/15 is more negative, it is less than -1/15. Therefore the blank is >.
