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March 13th, 2017, 02:18 AM   #1
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What is this called in English? Equations with denominators?

Hello fellow mathematicians.

I am just a simple Swedish farmer tending to my mathematics using Khan Academy as a resource. Unfortunately for me, I am having trouble finding a particular mathematical subject because I don't know what it is called in English.

The subject that I am talking about looks like this.


I have tried finding it on Khan Academy using "equations with denominations", which would be the literal Swedish to English translation, but I come up short.

Could anyone of you please help me? I don't know whether I am asking this question in the right section of the forum; if I am in the wrong, I would like to apologize.

Thanks in advance to anyone that could help me towards the right direction to find this on Khan Academy.

Last edited by skipjack; March 13th, 2017 at 09:46 AM.
UncommonValor is offline  
 
March 13th, 2017, 05:00 AM   #2
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Equations with denominators would be a better translation.

In order to find examples try "equations with fractions" "solve equations with fractions" or "two step equations", "three step equations", etc.

Or, there's this site: https://www.mathworksheets4kids.com/...p-equation.php
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March 13th, 2017, 06:20 AM   #3
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Looks like solving equations with rational expressions.
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March 13th, 2017, 07:13 AM   #4
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Try setting one up yourself; example:
make x = 20, and set up an equation:
x/5 + x/2 = 14
x/5 = 20/5 = 4
x/2 = 20/2 = 10
OK?
Now pretend you don't know that x=20,
and try to solve the equation.

Get my point?
I think that's one of the best ways to "learn".

Last edited by skipjack; March 13th, 2017 at 09:48 AM.
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March 13th, 2017, 07:50 AM   #5
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Or just write stuff down and try to solve it. You probably won't get anything that can't be solved if you follow the pattern, although some of the mental arithmetic may get tough.
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March 13th, 2017, 10:22 AM   #6
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Khan Academy deals with it here.
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March 13th, 2017, 10:57 AM   #7
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There are probably several names for the process in English, but the one I use is "clearing fractions."

Khan has an example very similar to the one in your video at https://www.khanacademy.org/math/in-...ep-equations-2.

One point about your video in Swedish is that he shows two approaches. In one, your video finds the common denominator of all the equation's fractions and multiplies both sides of the equation by that common denominator. In the other approach, your video clears fractions one at a time and never bothers with a common denominator. Both approaches are perfectly valid, but the first approach is more efficient and more commonly taught.

Last edited by JeffM1; March 13th, 2017 at 11:01 AM.
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March 13th, 2017, 02:51 PM   #8
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I would like to thank you all for helping me out.
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