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Adding Mixed Numbers

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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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Title:
Adding Mixed Numbers
Description:

U02_L3_T1_we3 Adding Mixed Numbers

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Video Language:
English
Duration:
02:06

English subtitles

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