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March 13th, 2017, 02:18 AM  #1 
Newbie Joined: Mar 2017 From: Sweden Posts: 2 Thanks: 0  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. 
March 13th, 2017, 05:00 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,439 Thanks: 2114 Math Focus: Mainly analysis and algebra 
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/...pequation.php 
March 13th, 2017, 06:20 AM  #3 
Math Team Joined: Jul 2011 From: Texas Posts: 2,284 Thanks: 1114 
Looks like solving equations with rational expressions.

March 13th, 2017, 07:13 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 8,425 Thanks: 570 
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. 
March 13th, 2017, 07:50 AM  #5 
Math Team Joined: Dec 2013 From: Colombia Posts: 6,439 Thanks: 2114 Math Focus: Mainly analysis and algebra 
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.

March 13th, 2017, 10:57 AM  #7 
Senior Member Joined: May 2016 From: USA Posts: 514 Thanks: 229 
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...epequations2. 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. 
March 13th, 2017, 02:51 PM  #8 
Newbie Joined: Mar 2017 From: Sweden Posts: 2 Thanks: 0 
I would like to thank you all for helping me out.


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