
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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August 23rd, 2018, 02:39 PM  #1 
Newbie Joined: Aug 2018 From: Utah Posts: 6 Thanks: 0  Fractions in Order of Operations
When using order of operations, do you simply put the top part of the fraction next to the bottom part of the fraction with a division sign in between them, or do the upper and lower parts of the fraction act as equations in parentheses? I have been simply rewriting the fraction as a division problem before trying to simplify anything. Is this acceptable? Would the parts of the equation that were written as a fraction need to be put in parentheses? Is (10)  6 (2)^2 followed by  5 functionally the same as (I wasn't sure how to make it clear that the " 5" wasn't part of the fraction) 10  6 / (2)^2  5 ? Or does it need to be [(10)  6] / [(2)^2]  5 ? Last edited by inomztietuseoe; August 23rd, 2018 at 02:45 PM. 
August 23rd, 2018, 02:41 PM  #2  
Senior Member Joined: Aug 2012 Posts: 2,157 Thanks: 631  Quote:
Last edited by Maschke; August 23rd, 2018 at 02:48 PM.  
August 23rd, 2018, 04:57 PM  #3  
Senior Member Joined: May 2016 From: USA Posts: 1,306 Thanks: 549  Quote:
Does $\dfrac{(\ 10)  6}{(\ 2)^2}  5 = (\ 10) + \{(\ 6) \div (\ 2)^2\}  5$ or does $\dfrac{(\ 10)  6}{(\ 2)^2}  5 = \{(\ 10)  6\} \div \{(\ 2)^2\}  5$ The correct interpretation is the second. The horizontal bar separaring the numerator and denominator of a fraction acts like a grouping symbol (parenthesis) for both numerator and denominator simultaneously. Once you understand that, PEMDAS will steer you correctly.  
August 23rd, 2018, 06:08 PM  #4 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,041 Thanks: 815 Math Focus: Wibbly wobbly timeywimey stuff. 
Unfortunately I have caught a couple of both HS and College teachers interpret x + 3y / 2y  x as (x + 3y)/(2y  x). I tell you it's a blot on the profession! Dan 
August 24th, 2018, 11:57 AM  #5 
Newbie Joined: Aug 2018 From: Utah Posts: 6 Thanks: 0  
August 24th, 2018, 12:52 PM  #6 
Global Moderator Joined: Dec 2006 Posts: 20,285 Thanks: 1967 
Don't worry  they were omitted so that your question made sense.


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