Say I have:
$\displaystyle \frac{x \cdot \frac{1}{z}}{y}$
How can I make it look like:
$\displaystyle \frac{x}{y \cdot \frac{1}{z}}$
I'm trying to figure out the algebraic rule(s) for this
Hello, daigo!
$\displaystyle \text{Say I have: }\:\frac{x \cdot \frac{1}{z}}{y}$
$\displaystyle \text{How can I make it look like: }\:\frac{x}{y \cdot \frac{1}{z}}$ . You can't
It looks like you're making up your own rules:
. . "Just pick it up and move it down."
You can multiply the fraction by $\displaystyle \frac{z}{z}\!:$
. . . $\displaystyle \dfrac{x\cdot\frac{1}{z}}{y} \cdot \frac{z}{z} \;=\;\frac{x\cdot\frac{1}{z}\cdot z}{y\cdot z} \;=\;\frac{x}{yz} $