-
-
Let's add 19 and
3/18 to 18 and 2/3.
-
So I like to separate out
the whole number parts
-
from the fraction parts.
-
So 19 and 3/18 is the same
thing as 19 plus 3/18.
-
And to that, we are
going to add 18 and 2/3,
-
which is the same
thing as 18 plus 2/3.
-
Now we can separately add
the whole number parts.
-
So we could add
the 19 to the 18.
-
So we could do 19 plus 18.
-
And then we can add
the fraction parts--
-
let me do this in green--
plus 3/18 plus 2/3.
-
-
Now 19/18, pretty
straightforward.
-
That is what?
-
Let's see.
-
19 plus 19 would be 38.
-
So this is going to
be 1 less than that.
-
It's going to be 37.
-
So that gives me 37.
-
And then 3/18 plus
2/3, to add them,
-
I need to have the
same denominator.
-
And the least common
multiple of 18 and 3 is 18.
-
So let's convert 2/3
to something over 18.
-
So 2/3, if I want to write
it as something over 18,
-
well, I multiplied
the denominator by 6,
-
so I'd also have to
multiply the numerator by 6.
-
So it's the same thing as 12/18.
-
So I can rewrite 2/3 as 12/18.
-
And now I can add these
two things together.
-
That's going to be-- so
I have 37 plus-- it's
-
going to be something over
18-- plus something over 18.
-
3 plus 12 is 15, plus 15/18.
-
And so expressing this
as a mixed number,
-
I get 37 and 15/18.
-
And that's the right number.
-
But we can simplify
it even more.
-
We can simplify the 15/18.
-
Both the numerator and the
denominator are divisible by 3.
-
So let's divide them both by 3.
-
And we're not changing
the value because we're
-
doing the same thing to the
numerator and the denominator.
-
And so this gives us,
we still have our 37,
-
but the numerator is now 5,
and the denominator is now 6.
-
So we get 37 and 5/6.
-
-
And we're done.