Wednesday, March 10, 2010

Adding Mixed Numbers

On Monday, we learned how to add mixed numbers.

A situation that was given to us was:
On Pizza day, 1 5/6 of cheese pizza, and 1 5/6 of bacon pizza were left. How many altogether?


Steps:
1) Add whole numbers.
2) Find a common denominator for fractions.
3) Add fractions.
4) Add whole numbers to fractions.


This is the situation changed into a mathematical equation:
1 + 1 + 5/6 + 5/6 =

How to solve it:

2 + 5/6 + 5/6 =
2 + 10/6 =
2 + 6/6 + 4/6 =
2 + 1 + 4/6 =
3 4/6 =
3 2/3

The answer is 3 2/3.

Another way to add mixed numbers is using a diagram.


Take one from the last one to make the second 1 whole. That gives us 3 wholes and 4/6 in lowest terms is 2/3.




We did some practice with adding mixed numbers:

Like-denominators:
a) 1 1/3 + 2 1/3 =
3 + 1/3 + 1/3 =
3 + 2/3 =
3 2/3

b) 3 1/6 + 2 5/6 =
5 + 1/6 + 5/6 =
5 + 6/6 =
5 + 1 =
6

c) 3 2/3 + 2/3 =
3 + 4/3 =
3 + 1 + 1/3 =
4 + 1/3 =
4 1/3


Unlike-denominators:
a) 1 1/2 + 2 1/3 =
6 + 1/2 + 1/6 =
6 + 4/6 =
6 4/6 =
6 2/3

b) 2 1/2 + 4 1/6 =
6 + 1/2 + 1/6 =
6 + 4/6 =
6 4/6 =
6 2/3

c) 3 3/5 + 1/2 =
3 + 11/10 =
3 + 1 + 1/10 =
4 + 1/10 =
4 1/10

Mixed numbers can be expressed in 4 ways: 1 1/2, 1.5, One and one half, 1 + 1/2.

Here is a great website for adding mixed numbers!

The video shown here helps you understand more about adding mixed numbers with unlike denominators:

Make sure to leave a comment!

22 comments:

  1. Great post Marie, I like how you organized everything! And the picture was well made.

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  2. Good job Marie! Your post is very well organized and your video is very useful.It really helps people that don't know what your are talking about.But aren't you suppose to do todays notes? But it was a really good post!

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  3. Meljohn: No, from what I remember, Mark was supposed to do Monday's notes, but then he asked Mr. Isfeld if he could do today's notes instead. So, I did Monday's notes.

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  4. Nice post marie it well organized and you also included some exercises so that other people can try it and check there answers from you r blog and the steps will show the people that is new to the lesson so it is very helpful and the video was exactly about adding mixed numbers.great post!

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  5. Nice Post Marie ! I really liked the how neat it was ! I also liked the video ! it would really help people who don't know how to add decimals !

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  6. Great post Marie. I like your pictures and it looks very neat and organized. Great job!

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  7. Good job Marie. The post was very good and organized. I also like the pictures.

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  8. Excellent post Marie. It was very neat and organized. I also like your pictures. Your scribe was very well done.

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  9. Nice post Marie!!! Mark already posted adding fractions but I do rememeber him saying he wanted to do subtracting fractions. Anyways, your post was really organized and you did everthing you were supposed to. Great job!!!!

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  10. Great post, Marie! The pictures helped me and I thought that the scribe was very organized and neat. Good job!

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  11. Great job on the post!!but didn't Mark did this post too? Your post is nice and neat and the video and the pictures are great.

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  12. Nice post Marie! Your scribe is really organized and neat.

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  13. Nice post Marie! I really like how your post is so organized and the video was easy to understand.

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  14. Good Job Marie. I really like our post. Wasnt Mark already doing adding mixed numbers?

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  15. Great job. You organized it very well.

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  16. Great post, Marie! It was very organized and neat to understand.

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  17. Great post, Marie. I really liked how organized it was.Correct me if I'm wrong, but this post is a little similar to Aldren's last post.

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  18. Nice post Marie. I liked how you Changed the color and size of important things. I can not see any thing wrong. Excellent Post!

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  19. I liked your post Marie! the colors were nice and i didn't see anything wrong.

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  20. Good post. I dont think theirs anything wrong with it

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  21. ns post Marie but next time you should put more colour in it!

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  22. nice post , everything was good. i dont see anything wrong

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