# Math Help - quick question about division

1. ## quick question about division

if i have something like

g/kg*year, can that be re written as g/kg/year?

2. if you have
$\frac{A}{BC}$
it is equal to
$\frac{\frac{A}{B}}{C}$ where B and C are interchangeable

if you have $\frac{A}{B}C=\frac{AC}{B}=\frac{C}{B}A$
it is NOT equal to
$\frac{\frac{A}{B}}{C}=\frac{\frac{A}{C}}{B}$

3. Originally Posted by MottoV2
if i have something like
g/kg*year, can that be re written as g/kg/year?
NO.

4. You need parentheses! Just "g/kg*year" could be interpreted as (g/kg)year or as g/(kg*year).

Similarly, "g/kg/year" could be either (g/kg)/year or as g/(kg/year).

(g/kg)year is the same as (g*year)/kg while g/(kg*year) is the same as (g/kg)/year.

5. Plus remember that g/(kg) = 1/k