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Topic: 4th grade math help  fractions

simplydevastated ♀ 25001 Member # 25001  Posted: 3:39 PM, March 26th (Tuesday), 2013  
I do not like fractions. At. All!
My son has fraction homework and some of the answers look wrong to me. I need help
1 example
3 1/4 + 2 1/4 = 5 2/4 (his answer)
My question. Wouldn't the answer be 5 1/2 since 1/4 & 1/4 equal a half?
If he's right, great! I just need to understand this. It's been so long since I was in 4th grade, I didn't like fractions then. Ugh... Me  BS, 39 (I'm not old...I'm vintage)
Two Wonderful children  DS10, DD7
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ajsmom ♀ 17460 Member # 17460  Posted: 3:42 PM, March 26th (Tuesday), 2013  
You're right.
Two quarters make a half.
Just like football.
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fireproof ♀ 36126 Member # 36126  Posted: 3:45 PM, March 26th (Tuesday), 2013  
I believe the answer is 5 1/2
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MovingUpward ♂ 14866 Member # 14866  Posted: 3:49 PM, March 26th (Tuesday), 2013  
Yes the final step in any math process that results in a fraction is to reduce the fraction to the smallest representation (ie all common factors from the numerator and denominator are removed) AKA Moo
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simplydevastated ♀ 25001 Member # 25001  Posted: 3:51 PM, March 26th (Tuesday), 2013  
That's how I explained it to him. I said if I have a 1/4 cup of something and I add another 1/4 cup that will give me half a cup.
He has another one
7 1/2 + 2 1/2 = 9 2/2 (his answer.
I told him that the answer might be 10 because a half and a half equal a whole.
I found a fraction calculator online and it did the math like he did, only adding the numerator because the denominators are the same. Me  BS, 39 (I'm not old...I'm vintage)
Two Wonderful children  DS10, DD7
Married, for now... (4+ DDay  listed in profile.)
Posts: 5854  Registered: Jul 2009  From: In the darkest depths of hell! 
teach5 ♀ 18445 Member # 18445  Posted: 3:51 PM, March 26th (Tuesday), 2013  
Changing 2/4 to 1/2 is reducing to lowest terms and they may not have learned that yet.
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simplydevastated ♀ 25001 Member # 25001  Posted: 3:52 PM, March 26th (Tuesday), 2013  
Yes the final step in any math process that results in a fraction is to reduce the fraction to the smallest representation (ie all common factors from the numerator and denominator are removed)
Ok, what? Me  BS, 39 (I'm not old...I'm vintage)
Two Wonderful children  DS10, DD7
Married, for now... (4+ DDay  listed in profile.)
Posts: 5854  Registered: Jul 2009  From: In the darkest depths of hell! 
timeforchange ♀ 27454 Member # 27454  Posted: 3:52 PM, March 26th (Tuesday), 2013  
Yup my son was also taught to look at the answer and see if you can reduce the fraction further to the lowest possible common denominator.
So 2/4 can be simplified to 1/2
6/9 can be simplified to 2/3
Etc. Me = BS aged 43
2 boys, 13 and 9
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simplydevastated ♀ 25001 Member # 25001  Posted: 3:56 PM, March 26th (Tuesday), 2013  
Assuming he hasn't learned reducing yet, should he leave the answers as is? Me  BS, 39 (I'm not old...I'm vintage)
Two Wonderful children  DS10, DD7
Married, for now... (4+ DDay  listed in profile.)
Posts: 5854  Registered: Jul 2009  From: In the darkest depths of hell! 
jrc1963 ♀ 26531 Member # 26531  Posted: 4:09 PM, March 26th (Tuesday), 2013  
I was going to say they may have not yet reached the reduce to the simpilest form yet. In which case 2/4 would be correct.
2/2 would not be right, they should know that 2 1/2's make a whole already. Me: BSO  46
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simplydevastated ♀ 25001 Member # 25001  Posted: 5:15 PM, March 26th (Tuesday), 2013  
I asked him during dinner if they learned how to reduce. He said yes, but his teacher doesn't call it that.
So I'm going to go over his home work again with him. I also want to find out if her instructions were to reduce or leave it as is which sounds odd to me. She had them cross out some examples because she said you couldn't do the math right.
Me  BS, 39 (I'm not old...I'm vintage)
Two Wonderful children  DS10, DD7
Married, for now... (4+ DDay  listed in profile.)
Posts: 5854  Registered: Jul 2009  From: In the darkest depths of hell! 
Chrysalis123 ♀ 27148 Member # 27148  Posted: 8:04 PM, March 26th (Tuesday), 2013  
Fractions are all about taking a whole thing and breaking it apart into equal sized sections.
Say, you have one cake and cut it into 32 equal pieces. You can eyeball the cake and see half. You can count up the pieces in the half and find 16 out of the 32 are half (16/32...top number indicates amount you want, bottom number shows the total number of pieces...in this case you need 16 out of the 32 to show half. Top number is called the numerator, bottom number is the denominator...think "downominator")
I call this fraction 16/32 the "complicated form" because it is hard to picture it in my head. I cannot visualize 16 out of 32 pieces easily. It is also very time consuming and hard to draw.
But, I do know if I had another identical cake sitting next to the one I cut up into 32 pieces, I could easily show 1/2 by just cutting the cake one time into 2 equal parts. I could point to the half that would be the same size as the 16 parts I needed for half of the other cake.
This cake would be the "simple" example to show half, or form...get it "simplest form".
Both cakes show me one half (1/2 or 1 of the two equal pieces). Which one is easier to visualize?
Both halves are the same, they are equal or equivalent. They are called equivalent fractions.
1/2 = 16/32 or 16 out of the 32 pieces
1/2 = 2/4 or 2 out of the 4 pieces
In math, people prefer to use the simpler form of a fraction because it is easier to work with than the complicated form. It is easier to visualize, and easier to do arithmetic on.
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Chrysalis123 ♀ 27148 Member # 27148  Posted: 8:12 PM, March 26th (Tuesday), 2013  
So, when you have the fraction 2/2 what does that mean?
It means you have 2 of the 2 parts....wait a sec...
If you have 2 of 2 parts of a candy bar, don't you have all of it?
When the top and bottom number match, it means you have the entire object.
It means you have ONE of the object, because you have all of the parts. It is exactly like having 1 all dressed up in a costume. It is still 1, just an equivalent that looks different.
3/3 = 1
11/11 = 1
999/999 = 1
1/1 = 1
Her's a quiz:
3/3 + 1 = ? Don’t get to the end of your life and find that you lived only the length of it; live the width of it as well.
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Bobbi_sue ♀ 10347 Member # 10347  Posted: 2:50 AM, March 27th (Wednesday), 2013  
learned how to reduce
This is not called reducing any more. It is simplifying.
"Reducing" seems to imply a different value. The value stays the same and is not "reduced" but the answer should be in simplest terms, so yes 2/4 should be written as 1/2.
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simplydevastated ♀ 25001 Member # 25001  Posted: 8:34 AM, March 27th (Wednesday), 2013  
Thank you all for help with this. I appreciate very much. He's handing it in today and I told him I want to see as soon as she corrects it and hands it back.
We'll see.
Thanks again! Me  BS, 39 (I'm not old...I'm vintage)
Two Wonderful children  DS10, DD7
Married, for now... (4+ DDay  listed in profile.)
Posts: 5854  Registered: Jul 2009  From: In the darkest depths of hell! 
Topic Posts: 15  