Question

how to convert 33.2 kg/l to kg/ml?

show work? by cancelling

Answer 1

you have \( \frac{kg}{L} \)
and you want to change the L to mL
if you think "I want to cancel the L" and replace it with mL
then multiply by \( \frac{L}{mL} \)
pretend L is a number , then when we do
\[ \frac{kg}{L}\cdot \frac{L}{mL} = \frac{kg}{\cancel{L}}\cdot \frac{\cancel{L}}{mL} = \frac{kg}{mL}\]

Answer 2

to use that idea you want the actual number of L per ml
there are 1000 ml per L
\[ 1000 \frac{mL}{L}\]
but we want the "flipped version"
\[ \frac{1}{1000} \frac{L}{mL} \]

multiply that times your number
\[ 33.2 \frac{kg}{L} \cdot \frac{1}{1000} \frac{L}{mL} \]