Adding mixed numbers with like denominators | Fractions | Pre-Algebra | Khan Academy

Adding mixed numbers with like denominators | Fractions | Pre-Algebra | Khan Academy


Let’s add these
two mixed numbers. 2 and 5/13 plus 7 and 6/13. And the way I like to
think about in my head, I like to separate out the mixed
numbers into the whole number component and the
fractional component. So we can rewrite 2 and
5/13 as 2 plus 5 over 13. And then we can write that plus. And then 7 and 6/13, we can
rewrite as plus 7 plus 6/13. So all I did is I rewrote this. And I essentially
expanded it out. I broke up the mixed numbers
into their whole number parts and their
fractional parts. And then what I
like to do is I like to add the whole number parts. So this 2 plus this
7, so I’ll do that. So I’ll do the 2
plus 7 over here. I’ll add those up. And to that, I will add
the fractional parts. So to that, I will add
the 5/13 to the 6/13. So if we add the whole
number parts, 2 plus 7 is 9, and the fractional
parts, they already have the same denominator
in this problem. 5/13 plus 6/13,
same denominator. You’re going to get 11/13. 5 plus 6 is 11. So you get 9 plus 11/13. Well, that’s just the
same thing as 9 and 11/13. And we are done.

13 thoughts on “Adding mixed numbers with like denominators | Fractions | Pre-Algebra | Khan Academy

  • February 4, 2012 at 7:51 pm
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    first

    Reply
  • March 2, 2016 at 2:36 pm
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    👎🏿

    Reply
  • July 16, 2016 at 5:42 pm
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    is this even right??????

    Reply
  • September 27, 2016 at 12:06 am
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    Wow, this makes much moe sense and much more easier than the one my teacher taught me. O.o P.S ThANK YOU!

    Reply
  • October 5, 2016 at 11:06 am
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    Thx for showing this. 'Cause I will teach tomorrow 😂 😂

    Reply
  • December 3, 2016 at 1:57 pm
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    can u make a video like this exactly BUT without 2 whole numbers PLS PLS PLS PLS!!!!!! I RLY NEED IT ASAP

    Reply
  • March 13, 2017 at 8:03 pm
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    Thank you sir 👍🏾😐👍🏾😎

    Reply
  • April 19, 2017 at 10:44 pm
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    He Makes It To Complected!

    Reply
  • June 16, 2017 at 3:52 pm
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    Narrorator: Plus 16ths.         plus 16ths.          Plus 16ths e_o

    Reply
  • January 29, 2019 at 12:55 am
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    This helped me work my problems 👍

    Reply
  • January 29, 2019 at 12:56 am
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    THIS WORKED ALOT

    Reply
  • April 6, 2019 at 1:55 am
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    this helped me with my home work so much thank you !

    Reply
  • December 9, 2019 at 9:41 pm
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    i could not hear video

    Reply

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