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anonymous
 one year ago
Ellie had 44 books in here bookcase. She counted 32 fiction book and the rest were nonfiction.
What was the ratio of fiction books to nonfiction book in Ellie's bookcase?
A. 8 to 3
B. 8 to 11
C. 11 to 3
D. 3 to 8
anonymous
 one year ago
Ellie had 44 books in here bookcase. She counted 32 fiction book and the rest were nonfiction. What was the ratio of fiction books to nonfiction book in Ellie's bookcase? A. 8 to 3 B. 8 to 11 C. 11 to 3 D. 3 to 8

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0First let's find the number of nonfiction books. So if there are 32 fiction and 44 total, to find the nonfiction just do 4432.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right. So now we put together our ratio. Keep in mind that \[\large x~to~y~=~\frac{x}{y}\] so \[\large fiction~to~nonfiction~=~\frac{fiction}{nonfiction}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So if we substitute the values of fiction and nonfiction in, what would it look like?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well how many fiction books are there and how many nonfiction books are there?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.032 fiction and 12 nonfiction

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right. So susbtitute the number of fiction and the number of nonfiction into \[\large \frac{fiction}{nonfiction}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The opposite \[\large \frac{32}{12}\] but anyways now it's time to simplify. Do you know how to do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right! So now, we just have to translate it back to the other ratio form. If \[\large \frac{x}{y}~=~x~to~y\] then what will \[\large \frac{8}{3}\]be?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Correct! Good job! :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you for the help

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]
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