wheeler2455
22.07.2019 •
Mathematics
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?
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Ответ:
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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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Ответ: