Convert 8.2mg/mL to (micro)g/L

write it like a grid to solve the conversion problems here.

Code:

8.2 mg |
-------+
1 mL |

Then since there is 1000 (mL) in 1 (L) and you need to cancel the (mL), put it on top

Code:

8.2 mg | 1000 **mL** |
-------+---------+
1 **mL** | 1 L |

Same for mg to (micro)g. There are 1000 (micro)g in 1 mg. mg goes on bottom to cancel the one already on top.

Code:

8.2 **mg** | 1000 **mL** | 1000 **(micro)g **|
-------+---------+---------------|
1 **mL** | 1 **L ** | 1 **mg** |

The horizontal line is devide and vertical lines become multiply. The mg and mL cancel and the proper units remain in the proper place.