# If X and Y ~ Uniform(0,1), what is the distribution X/Y? [duplicate]

Given that $$X$$ and $$Y$$ are random variables drawn from a uniform distribution between $$0$$ to $$1$$, i.e.

$$X \sim Uniform(0, 1) \\ Y \sim Uniform(0, 1)$$

And given that $$Y \neq 0$$, what do we know about $$\frac{X}{Y}$$? What is it's distribution, PDF, mean, and variance?