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 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 October 2nd, 2017, 03:47 PM #1 Newbie   Joined: Oct 2017 From: USA Posts: 5 Thanks: 0 Simplifying Fractions Before Adding Hello all, I have an extremely elementary question however my mind is drawing a blank - Can fractions be simplified diagonally before adding? Or is that only in multiplying fractions? i.e. can 3/8 + 5/6 be simplified diagonally to 1/8 + 5/2? Then the common denominator be found, added, etc. All help is much appreciated. Thank you!
 October 2nd, 2017, 04:04 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,879 Thanks: 1087 Math Focus: Elementary mathematics and beyond Does 3/8 + 5/6 = 1/8 + 5/2?
October 2nd, 2017, 04:58 PM   #3
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Quote:
 Originally Posted by mliz7988 Can fractions be simplified diagonally before adding? Or is that only in multiplying fractions?
What are you calling "simplified diagonally"?

-Dan

 October 2nd, 2017, 04:59 PM #4 Newbie   Joined: Oct 2017 From: USA Posts: 5 Thanks: 0 More generally, my question is can fractions be simplified diagonally when they are being added?
 October 2nd, 2017, 05:05 PM #5 Newbie   Joined: Oct 2017 From: USA Posts: 5 Thanks: 0 Hi Dan, For example, if I have 3/8 + 5/6 --> Can the 6 and 3 be cross simplified by dividing by 3 to yield 1/8 + 5/3? Or can fractions only be simplified diagonally when being they are multiplied? Hope that makes sense. Thanks for your response.
October 2nd, 2017, 06:22 PM   #6
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Quote:
 Originally Posted by mliz7988 Hi Dan, For example, if I have 3/8 + 5/6 --> Can the 6 and 3 be cross simplified by dividing by 3 to yield 1/8 + 5/3? Or can fractions only be simplified diagonally when being they are multiplied? Hope that makes sense. Thanks for your response.
No. You have to get the common denominator. What you are trying to do is a method using multiplication, not addition.

-Dan

 October 2nd, 2017, 07:32 PM #7 Newbie   Joined: Oct 2017 From: USA Posts: 5 Thanks: 0 Many thanks Dan, that answers my question
October 3rd, 2017, 05:44 AM   #8
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Quote:
 Originally Posted by mliz7988 can 3/8 + 5/6 be simplified diagonally to 1/8 + 5/2?
Evaluate the darn things:

3/8 + 5/6 = 1.208333333.....

1/8 + 5/2 = 2.625

So now you know...no need to ask

 October 3rd, 2017, 06:17 AM #9 Newbie   Joined: Oct 2017 From: USA Posts: 5 Thanks: 0 Thanks Denis

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