$$\frac{6}{5}:\frac{2}{15}=$$
$$\frac{6}{5}\times\frac{15}{2}=$$
$$\frac{6}{2}\times\frac{15}{5}=$$
$$\frac{\cancelto{3}{6}}{\cancelto{1}{2}}\times\frac{\cancelto{3}{15}}{\cancelto{1}{5}}=$$
$$3\times3=$$
$$9$$