Respuesta :
The answer is: [C]: " 2 [tex] \frac{1}{3} [/tex] " .
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Note:
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Recipe calls for "[tex] \frac{2}{3} [/tex]" cup milk.
If we make " 3 [tex] \frac{1}{2} [/tex] times" the recipe;
The recipe will need "3 [tex] \frac{1}{2}[/tex] times the amount of milk ;
or: "{ 3 [tex] \frac{1}{2} [/tex] * [tex] \frac{2}{3}[/tex] }" cups milk.
Note: "3 [tex] \frac{1}{2} [/tex]" =
[tex] \frac{(2*3)+1}{2} [/tex] = [tex] \frac{(6 +1)}{2} [/tex] = [tex] \frac{7}{2}[/tex] ;
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→ [tex] \frac{7}{2} [/tex] * [tex] \frac{2}{3} [/tex] cups ;
=[tex] \frac{7*2}{2*3} [/tex] ;
=[tex] \frac{14}{6} [/tex] ;
=[tex] \frac{14/2}{6/2} [/tex] ;
=[tex] \frac{7}{3} [/tex] cups;
→ Write as a mixed number: " 2 [tex] \frac{2}{3}[/tex] cups" ;
→ which is: "Answer choice: [C]: " 2 [tex] \frac{2}{3}[/tex] " .
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________________________________
Note:
________________________________
Recipe calls for "[tex] \frac{2}{3} [/tex]" cup milk.
If we make " 3 [tex] \frac{1}{2} [/tex] times" the recipe;
The recipe will need "3 [tex] \frac{1}{2}[/tex] times the amount of milk ;
or: "{ 3 [tex] \frac{1}{2} [/tex] * [tex] \frac{2}{3}[/tex] }" cups milk.
Note: "3 [tex] \frac{1}{2} [/tex]" =
[tex] \frac{(2*3)+1}{2} [/tex] = [tex] \frac{(6 +1)}{2} [/tex] = [tex] \frac{7}{2}[/tex] ;
_____________________________________________________
→ [tex] \frac{7}{2} [/tex] * [tex] \frac{2}{3} [/tex] cups ;
=[tex] \frac{7*2}{2*3} [/tex] ;
=[tex] \frac{14}{6} [/tex] ;
=[tex] \frac{14/2}{6/2} [/tex] ;
=[tex] \frac{7}{3} [/tex] cups;
→ Write as a mixed number: " 2 [tex] \frac{2}{3}[/tex] cups" ;
→ which is: "Answer choice: [C]: " 2 [tex] \frac{2}{3}[/tex] " .
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