Question

how to simplify: 9a-3/8a divided by 3a-1/24

Answer 1

\[\frac{\frac{9a-3}{8a}}{\frac{3a-1}{24}}\]

Let's rewrite that for a second:
\[X=\frac{9a-3}{8a}\]
So now we just have:
\[\frac{X}{\frac{3a-1}{24}}\]
Much easier to read :)
Ok, so a couple of things:
\[1 = \frac{2}{2}=\frac{3}{3}=... = \frac{Y}{Y}=\text{ or even } = \frac{\frac{1}{Y}}{\frac{1}{Y}}\]

So, to get rid of the fraction on the bottom, multiply the top and bottom by the inverse of the fraction.