The common ratio is given by
$$\\r=T_{n+1}\div T_{n}\\\\
so \\
r= \frac{-5}{3}\div\frac{-3}{5}\\\\
r= \frac{-5}{3}\times\frac{-5}{3}\\\\
r= \frac{25}{9}\\\\\\
OR\\
r= \frac{-125}{27}\div\frac{-5}{3}\\\\
r= \frac{-125}{27}\times\frac{3}{-5}\\\\
r= \frac{25}{9}\times\frac{1}{1}\\\\
r= \frac{25}{9}$$
IN FACT ANY TERM DIVIDED BY THE TERM BEFORE IT WILL GIVE THE COMMON RATIO
The common ratio is given by
$$\\r=T_{n+1}\div T_{n}\\\\
so \\
r= \frac{-5}{3}\div\frac{-3}{5}\\\\
r= \frac{-5}{3}\times\frac{-5}{3}\\\\
r= \frac{25}{9}\\\\\\
OR\\
r= \frac{-125}{27}\div\frac{-5}{3}\\\\
r= \frac{-125}{27}\times\frac{3}{-5}\\\\
r= \frac{25}{9}\times\frac{1}{1}\\\\
r= \frac{25}{9}$$
IN FACT ANY TERM DIVIDED BY THE TERM BEFORE IT WILL GIVE THE COMMON RATIO