Action 1

Naturally, you can"t include 2 portions if the common denominators (lower numbers) wear"t suit. To obtain a common measure, increase the with each other. Then we take care of the numerators by increasing every one by their various other term"s.

Currently you increase 5 by 3, as well as obtain 15, then we increase 8 by 3 as well as obtain 24.

*

Do the exact same for the 2nd term. We increase 2 by 8, and also obtain 16, then increase 8 by 3 as well as obtain 24.

*

The trouble currently has brand-new portions to include:

15
24
& plus; 16
24

Action 2

Given that our match, we can include the numerators.

15 & plus; 16=31

This produces the response

31
24

Action 3

If we can, the last action is to decrease the portion.

To learn, we attempt splitting it by 2 ...

Nope! So currently we attempt the following best prime number, 3 ...

Nope! So currently we attempt the following best prime number, 5 ...

Nope! So currently we attempt the following biggest prime number, 7 ...

Nope! So currently we attempt the following biggest prime number, 11 ...

Nope! So currently we attempt the following biggest prime number, 13 ...

Nope! So currently we attempt the following biggest prime number, 17 ...

Nope! So currently we attempt the following best prime number, 19 ...

Nope! So currently we attempt the following best prime number, 23 ...

Nope! So currently we attempt the following biggest prime number, 29 ...

No good. 29 is bigger than 24. So we "re done minimizing.

There you have it! Right here "s the last response to 5/8+2/3 5
8
& plus; 2
3
= 31
24

& duplicate; 2014 Randy Tayler
2/3 + 1/2
2/3 - 1/2
2/3 + 1/3
2/3 - 1/3
2/3 + 2/3
2/3 - 2/3
2/3 + 1/4
2/3 - 1/4
2/3 + 2/4
2/3 - 2/4
2/3 + 3/4
2/3 - 3/4
2/3 + 1/5
2/3 - 1/5
2/3 + 2/5
2/3 - 2/5
2/3 + 3/5
2/3 - 3/5
2/3 + 4/5
2/3 - 4/5
2/3 + 1/6
2/3 - 1/6
2/3 + 2/6
2/3 - 2/6
2/3 + 3/6
2/3 - 3/6
2/3 + 4/6
2/3 - 4/6
2/3 + 5/6
2/3 - 5/6
2/3 + 1/7
2/3 - 1/7
2/3 + 2/7
2/3 - 2/7
2/3 + 3/7
2/3 - 3/7
2/3 + 4/7
2/3 - 4/7
2/3 + 5/7
2/3 - 5/7
2/3 + 6/7
2/3 - 6/7
2/3 + 1/8
2/3 - 1/8
2/3 + 2/8
2/3 - 2/8
2/3 + 3/8
2/3 - 3/8
2/3 + 4/8
2/3 - 4/8
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2/3 - 5/8
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2/3 - 6/8
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2/3 - 7/8
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2/3 - 2/9
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2/3 - 3/9
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2/3 - 4/9
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2/3 - 3/11
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2/3 - 6/11
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2/3 - 8/11
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2/3 - 10/11
2/3 + 1/12
2/3 - 1/12
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2/3 - 2/12
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2/3 - 3/12
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2/3 - 4/12
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2/3 - 6/12
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2/3 - 7/12
2/3 + 8/12
2/3 - 8/12
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2/3 - 10/12
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2/3 - 11/12