Hello, dbf064!
Here are two ways to handle this . . .
How do I do (x/y)/z? thanks
We have a
complex fraction, \(\displaystyle \:\L\frac{\frac{x}{y}}{\frac{z}{1}}\) . . . one with more than two "levels".
Multiply top and bottom by the LCD, \(\displaystyle y\):
. \(\displaystyle \L\frac{y\,\cdot\,\frac{x}{y}}{y\,\cdot\,\frac{z}{1}}\)
And we get:
. \(\displaystyle \L\frac{x}{yz}\)
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
Do you remember "Invert and multiply"?
We are given:
. \(\displaystyle \L\frac{\frac{x}{y}}{z}\)
. . This means: \(\displaystyle \L\frac{x}{y}\) is
divided by \(\displaystyle z\).
So we have:
. \(\displaystyle \L\frac{x}{y}\,\div\,z\;=\;\frac{x}{y}\,\times\,\frac{1}{z}\;=\;\frac{x}{yz}\)