Question

Find the difference 9 1/3 - 2/3

Answer 1

Answer:  9 1/3 - 2/3 =  8  2/3 .
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Note:  If the answer were "8 1/3" ; 

then:  "8 1/3 + 2/3 =? 9 1/3 ? "  

      → "8 1/3 + 2/3 = 8  3/3 = 8 + 1 = 9 = only "9" ;
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So the answer has to be MORE than "8 1/3"

Try "8 2/3"  → "8 2/3 + 2/3 =? 9 1/3?" ?? ; 
        
                  → "8 2/3 + 2/3 = 8 4/3 = 8 + 1 1/3 = 9 1/3 " → Yes!
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 So, the answer is:  "8  2/3" .
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Another method:
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Given the problem:  "9 1/3 - 2/3 " ;
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Note that:  "2/3 = 1/3 + 1/3"
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So, "9 1/3 - 2/3 = 9 1/3 - (1/3 + 1/3) = 9 1/3 - 1/3 - 1/3 = ?
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   Start with:  "9 1/3 - 2/3" = 9.  Then 9 - 1/3 = 8 3/3 - 1/3 = 8 2/3.
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Another method:
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Given the problem:  
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  "9 1/3 - 2/3 = ?? " ;
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  Convert "9 1/3" into "28/3" ;  ("3*9 = 27"); ("27+1=28");
                                           (The "3" comes from the "3" in the: "1/3" portion.)
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  So, we rewrite as:  
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   28/3 - 2/3 = (28 - 2) / 3 = 26/3 ; or, 8  2/3 .
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