 So this is the second part unit conversion videos if you haven't watched the first one You probably want to watch that because that sort of lays out some of the principles But now we're going to look at a couple more complicated problems and the first one we're going to look at is a volume conversion and in this case the particular things that I want to work with our leaders and Gallons Now you can probably look up some conversion factors but I happen to have one that related it back to cubic meters and 28.33 liters Is equal to seven point four seven seven gallons So if you have a conversion factor where neither side is one But you've got numbers on both sides of that we can still work with that So let's say I have an example where I've got 3.25 liters and I want to convert that into gallons So it is the same sort of process Where I look at okay, what do I have here on top is liters So I have to put that conversion factor the leaders one on the bottom and Then put the one I'm trying to go into which in this case is the gallons Up on the top the same thing happens here in terms of my units crossing out But now I have to be more careful with my numbers because I'm multiplying and dividing by numbers and none of those are one So over here my calculator app, which still shows some of my calculations from the first video I've got three point two five liters times seven point four seven seven gallons divided it by twenty eight point three three and That tells me that my final answer here is 0.8 five seven eight gallons summarizing three point two five liters is equivalent to zero point eight five seven eight gallons So that's what you do if you've got factors where neither one of them is a one So you have to both multiply and divide in order to get your conversion factors The next one that I want to go over as an example is what I'm going to call a double unit Conversion now that's not necessarily a standard title and in physics one of the common things where we're going to end up having this sort of situation is when I'm going to start off with something like a speed let's say 30 miles per hour and I want to put that into the standard physics units of Meters per second I'm going to have to convert miles to meters and hours to seconds So I need two different conversion factors in order for this to work and looking it up. We have that one mile equals 1,609 meters and One hour is equal to 3,600 seconds and that's because there's 60 minutes an hour and 60 seconds in each minute So that works out to be 3,600 seconds in an hour Now you can do this as two separate conversion problems or if we set things up with our fractions here What we can do is first work on the miles part of this and since miles is on the top the one mile has to go on the bottom and Then work on the hours part where since hours is on the bottom The hour has to go on the top In the end the miles cancel with the miles the hours cancel with the hours and I'm left with meters per second Now over here in my calculator. The way I'd actually put this in is 30 times 3,609 and technically divided by one even though the divided by one doesn't really make a difference times one divided by 3,600 and When I do that I get a final answer of 13.4 four Meters per second so I've gone from miles per hour into Meters per second by doing more than one conversion All in the same fraction looking at what's on top and what's on bottom to figure out where to place my conversion factors To get it into the final units. I want You might need to do a little bit more practicing to get comfortable with this But there's some examples for you guys to work with