## anonymous one year ago how to convert 33.2 kg/l to kg/ml? show work? by cancelling

1. phi

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 $\frac{kg}{L}\cdot \frac{L}{mL} = \frac{kg}{\cancel{L}}\cdot \frac{\cancel{L}}{mL} = \frac{kg}{mL}$

2. phi

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 $33.2 \frac{kg}{L} \cdot \frac{1}{1000} \frac{L}{mL}$