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I dont want ot keep plugging in all the possbilities. Is there a quicker way to do this?

 Feb 1, 2019
 #1
avatar+18018 
+1

Deleted.....misread the Q !!   cheeky.

 Feb 1, 2019
edited by ElectricPavlov  Feb 1, 2019
 #2
avatar+99523 
+2

Acoording to the Order of Operations...what we really have is this

 

(something) - (something x something) +  (something)

 

It's obvious that we want to subtract the smallest possible value of  (something x something) from the largest possible value of the first "something"

 

The largest possible value of the first something is   6/3  = 2

 

The smallest possible value of the middle multiplication is 4/5 * 2/3  = 8/15

 

Which leaves 2/2  as the final added "something"  = 1

 

So we have

 

6/3 - (8/15) + 1

 

2 + 1 - 8/15

 

3 - 8/15 

 

37 /15

 

 

cool cool cool

 Feb 1, 2019

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