58 1/3 ÷ 6 2/3 equals what?

2 answers:

8 0

The answer is: 35/4;  or; " 8 ¾ " ; or, write as: " 8.75 " .
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Explanation:
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Given: 58 ⅓ ÷ 6 ⅔ = ? ;
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Note: 58 ⅓  = [ (3*58) + 1 ] / 3 = (174 + 1) / 3 = 175 / 3 ;

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

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

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

  "6 ⅔ =6.6666666666666667 = 20/3 ;
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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 " .
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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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