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what we're going to do in this video is to start thinking about adding mixed numbers now just as a reminder of what a mixed number is it'd be something like 3 + 2 8 it's called mixed because part of the way we represent this number is as a whole number the 3 and then part is as a fraction - 8 but the number is 3 + 2 eights so let's think about how we might be able to add three and two eighths to five and three eighths so pause this video and see if you can if you can have a go at this before we work through this together all right now let's work through this together now there's a couple of ways that we could approach this you might recognize that 3 + 2 eights is the same thing as 3 plus 2 8 + 5 + 3 eighths is the same thing as 5 + 3 eighths and so if we add these two things together we're just adding really these 4 things together and the order in which we add doesn't matter so you could view this as three plus five plus two eighths plus two eighths plus three eighths no this is just the same thing I'm just changing the order with which we are adding and now what is three plus five three wholes plus five holes well that's just going to be eight and then what is two eighths plus 3/8 well if I have two of something in this case eighths and I add three more of that something in this case eighths I'm going to have five of that something in this case five eighths so this is going to be 8 plus 5 eighths which we can express as a mixed number as just being equal to 8 and five eighths now there's other ways that you might see folks approaching this you might see something like this where people will write three plus two eighths and then they will write right below that they'll write the five in the ones place or in the whole number and there's only a ones place in these holes not in these whole numbers so you'd write the five right below the three and then plus and then the fraction you would write right below the fraction 3/8 and then we can add vertically like this where first we can look at the fractional part to eight plus three eighths is going to be equal to five eighths and then three plus five is going to be equal to eight and if you add these two together eight and five eighths you get eight and five eighths so different ways to approach it but that will hopefully start to get you comfortable with adding a mixed numbers