quick question about division

• Jul 14th 2010, 03:47 PM
MottoV2
quick question about division
if i have something like

g/kg*year, can that be re written as g/kg/year?
• Jul 14th 2010, 03:58 PM
1005
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
$\frac{\frac{A}{B}}{C}=\frac{\frac{A}{C}}{B}$
• Jul 14th 2010, 07:13 PM
Wilmer
Quote:

Originally Posted by MottoV2
if i have something like
g/kg*year, can that be re written as g/kg/year?

NO.
• Jul 15th 2010, 02:18 AM
HallsofIvy
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.
• Jul 15th 2010, 08:15 AM
Wilmer
Plus remember that g/(kg) = 1/k