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October 2nd, 2017, 04:47 PM   #1
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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!
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October 2nd, 2017, 05:04 PM   #2
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Does 3/8 + 5/6 = 1/8 + 5/2?
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October 2nd, 2017, 05:58 PM   #3
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Originally Posted by mliz7988 View Post
Can fractions be simplified diagonally before adding? Or is that only in multiplying fractions?
What are you calling "simplified diagonally"?

-Dan
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October 2nd, 2017, 05:59 PM   #4
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More generally, my question is can fractions be simplified diagonally when they are being added?
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October 2nd, 2017, 06:05 PM   #5
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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.
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October 2nd, 2017, 07:22 PM   #6
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Originally Posted by mliz7988 View Post
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
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October 2nd, 2017, 08:32 PM   #7
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Many thanks Dan, that answers my question
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October 3rd, 2017, 06:44 AM   #8
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Quote:
Originally Posted by mliz7988 View Post
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
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October 3rd, 2017, 07:17 AM   #9
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Thanks Denis
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