Why does $\frac{f(x)}{\frac{f(y)}{h}} = \frac{f(x)}{hf(y)}$

Question

Earlier, I asked a similar question, but this one's getting me confused, as well. Why does $\frac{a}{\frac{b}{x}} = x \times \frac{a}{b}$, but the following expression holds true?

$$ \frac{f(x)}{\frac{f(y)}{h}} = \frac{f(x)}{hf(y)} $$

Answer 1

Wolfram Alpha took it as $\frac{\frac{f(x)}{f(y)}}{h}$ instead of $\frac{f(x)}{\frac{f(y)}{h}}$. You need to see which line is longer more carefully. The longer line represents the division performed later.

Answer 2

$$\frac{f(x)}{\frac{f(y)}{h}}\cdot \frac{h}{h}=\frac{f(x)\cdot h}{\frac{f(y)}{h}\cdot h}=\frac{f(x)h}{f(y)}.$$

What Jasper Loy said too.