Q:

What is the quotient of 2 and 1 over 7÷5 over 7?

Accepted Solution

A:
The answer is:  " 3 " .
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Explanation:
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2  1/7  ÷  5/7 ; 

  =  2 1/7  * 7/5 ; 

Note:  " 2  1/7 =    [ (7*2) + 1 ] / 7  =  (14 + 1) / 7 = 15/7 " ;  
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(15/7) * (7/5) = ?

Both "7's" cancel out to "1" ;  since " 7 / 7 = 1 " ; 

The "15" changes to a "3" ; and the "5"  changes to a "1" ; 

        →  since:  " 15 / 5 = 3 " ;  and since:  " 5 / 5 = 1 " . 
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and we have:

(3/1) * (1/1) =  3 * 1  = 3 .
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The answer is:  "3 " .
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