- [Instructor] 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 three and 2/8.
It's called mixed because part of the way
we represent this number is there's a whole number,
the three, and then part is as a fraction, 2/8.
But the numbers three and 2/8ths.
So let's think about how we might be able to add
three and 2/8ths to five and 3/8ths.
So pause this video and see 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 three and 2/8ths is the same thing
as three plus 2/8ths, and five and 3/8ths
is the same thing as five plus 3/8ths.
And so if we add these two things together
we're just adding really these four things together
and the order in which we add doesn't matter
so you could view this as three plus five
plus 2/8ths plus 2/8ths, plus 3/8ths,
notice it's 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 wholes,
we'll that's just going to be eight.
And then what is 2/8ths plus 3/8ths?
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 gonna have five
of that something, in this case 5/8ths.
So this is going to be eight plus 5/8ths.
Which we can express as a mixed number
as just being equal to eight and 5/8ths.
Now there's other ways that you might see
folks approaching this.
You might see something like this
where people will write three plus 2/8ths
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 whole numbers, so you'd write the five
right below the three and then plus
and then the fraction you'd write right below the fraction.
3/8ths.
And then we can add vertically like this
where first we can look at the fractional part,
2/8ths plus 3/8ths is going to be equal to 5/8ths
and then three plus five is going to be equal to eight
and if you add these two together,
eight and 5/8ths, you get eight and 5/8s.
So different ways to approach it,
but that will hopefully start to get you comfortable
with adding a mixed numbers.