WEBVTT

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Add and simplify the answer and
write as a mixed number.

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So we have two mixed
numbers here.

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We have a whole number part
and a fraction part.

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We need to add them.

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Now, there's two ways
to do this.

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You could convert both of these
into improper fractions,

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then add them, and then
convert that back

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into a mixed number.

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Or you could just look at this
and say, well, you know what?

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17 and 2/9 is the exact same
thing as 17 plus 2/9, and then

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5 and 1/9 is the exact same
thing as 5 plus 1/9, so 17 and 2/9

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plus 5 and 1/9 is the same
thing as 17 plus

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2/9 plus 5 plus 1/9.

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These two statements are
completely equivalent.

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And we know that when you're
just adding a bunch of

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numbers, it doesn't matter what
order you do it in, so

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you can swap the order.

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So you could say that this is
the same thing as 17 plus 5

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plus 2/9 plus 1/9.

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And we could do this
in any order.

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And we know what 17 plus 5 is.

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We've done that before.

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17 plus 5 is 22, so that
part right there is 22.

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So we have 22 plus-- now
what is 2/9 plus 1/9?

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Well, they have the same
denominator, so it's going to

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be over 9, and then you
add the numerators.

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2 plus 1 is 3.

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So it's 22 plus 3/9, but
this can be simplified.

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Both the numerator and
the denominator are

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divisible by 3.

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Divide the numerator
by 3, you get 1.

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Divide the denominator
by 3, you get 3.

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So this is 22 plus 1/3, which is
the exact same thing as 22

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and-- let me write it in that
other blue color-- which is

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the exact same thing
as 22 and 1/3.

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