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qwelly [4]
3 years ago
9

58 1/3 ÷ 6 2/3 equals what?

Mathematics
2 answers:
balandron [24]3 years ago
8 0
The answer is:  35/4;  or;  " 8 ¾ " ; or, write as:  " 8.75 " .
______________________________________________
Explanation:
_________________________________________________
             Given:  58 ⅓  ÷  6 ⅔ = ? ;
_________________________________________________
Note:  58 ⅓  =  [ (3*58) + 1 ] / 3  = (174 + 1) / 3 = 175 / 3 ; 

             6 ⅔ =  [ (3*6) + 2 ] / 3  = (18 + 2) / 3 = 20/3 ;
_________________________________________________
So;  Rewrite:  "58 ⅓  ÷  6 ⅔ " ;  as:
_________________________________________________
                      "(175/3)  ÷  (20/3) = ??
_____________________________________
Note:  "(175/3)  ÷  (20/3)  = (175/3) * (3/20) = ?

                                       → The "3's cancel out to "1" ; since "(3÷3 = 1)" ;
________________________________________
     and we have:  "175 * (1/20) = 175/20 ;
                                      =  35/4;  or;  " 8 <span>¾ " ; or, " 8.75 " .</span>
________________________________________
Alternate method:
________________________________________
       Given:  58 ⅓  ÷  6 ⅔ = ? ;
________________________________________
→ Using calculator:

       "58 ⅓ = 58.3333333333333333.... = 175/3 " ;

          
"6 ⅔ =6.6666666666666667 = 20/3 ;
_________________________________________
58 ⅓  ÷  6 ⅔ = (58.3333333333333333) (58.3333333333333333)  ÷ (6.6666666666666667)  (6.6666666666666667) = 8.75 ; 

or; better (using a calculator):  (175 ÷ 3) ÷ (20 ÷ 3) = 8.75  .

{or:  " (175 / 3) / (20 / 3)  =  8.75 " . 
_________________________________________
Akimi4 [234]3 years ago
5 0
58 1/3 / 6 2/3
175/3 / 20/3
175/3 x 3/20
525/60
8 3/4
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