Jacob has some cookies. 3/4 of his cookies are chocolate chip. out of the chocolate chip cookies 1/8 of them have nuts as well. what fraction of jacobs cookies are chocolate chip cookies with nuts?

The answer is:  "  " . 
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Explanation:
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Given the fractions: 

"3/4" ;  and "1/8" ; 

Note the "denominators:  "4" and "8" .

We can easily convert "3/4" to its fraction value with a denominator of "8" ; 

→ "3/4" =  " (what value?) / 8"  ?

→  Look at the "denominators" :
 
 →  4 * (what value?) = "8" ? ;  → "8 ÷ 4 = "2" ; 

→ So, 4 * 2  = 8 ;  for the "denominator" ;  so we multiply by "2" in the 
"numerator" , as well:

→ "(3/4)" = (3*2)/(4*2) = "6/8" ;
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→  "3/4"  =  "6/8" ; 
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→  Note:  The entire batch of cookies is:  "8/8" ; or "1 whole" ; 
       {since:  "8/8" = "{8÷8 = 1 whole}" ; 
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Given:  "3/4" of the {entire batch of} his cookies are chocolate chip." ; 

i.e.    "6/8 out of 8/8" are chocolate chips ;  
 
6/8 are chocolate chips;

1/8 out of 6/8 are {"chocolate chip with nuts"} ;
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  ==> What fraction of cookies are {"chocolate chip with nuts"} ?
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To get the answer;  we simplify:  "1/8 out of 6/8";  

or, simplify, "1/8 out of 3/4" ; 

that is:

"   ÷   " = ? {our answer} ?? ; 

→  "   ÷   " ;

→   Note:  When we divide 2 (TWO)  fractions;  we find the equivalent by writing the expression with a multiplication sign; AND by "inverting" (or taking the "reciprocal" of) the "second" fraction ; 

   =      "   *   " ; 
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Note:  The "4" cancels out to a "1" ; and the "8" cancels out to a "2" ; 

since:  "{8 ÷ 4 = 2}" ;  and since:  "{4 ÷ 4 = 1 }" ,
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And we can rewrite the expression as:
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→     "   *   " ; 

And simplify further:

      =  "   ; 

      =  " " .
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The answer is:  "  " .

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  Variant:  At the point {above} which we have:
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 →      "   *   " ; 
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Simplify further; as following: 

       =  " ; 

       =  " " ;

       =  " (4 ÷ 4) / (24 ÷ 4) "  ;
 
       =  " " .

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The answer is:  " " . 
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Understanding what? lol

Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,