a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake. victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. what is the greatest number of cakes bil can make using this recipe?	Choose the correct choice from the following answers:
A) 5
B) 6
C) 7
D) 8
E) 9
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">2 + (1/2)</gadget>
<output>5/2 = around 2.5</output>

<gadget id="calculator">15 / (5/2)</gadget>
<output>6</output>

<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">(3/4) + 2</gadget>
<output>11/4 = around 2.75</output>

<gadget id="calculator">16 / (11/4)</gadget>
<output>64/11 = around 5.818182</output>

<gadget id="calculator">floor(64/11)</gadget>
<output>5</output>

<gadget id="calculator">min(6, 5)</gadget>
<output>5</output>

<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">(1/3) + 1</gadget>
<output>4/3 = around 1.333333</output>

<gadget id="calculator">8 / (4/3)</gadget>
<output>6</output>

<gadget id="calculator">min(5, 6)</gadget>
<output>5</output>

<result>A</result>
a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake. victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. what is the greatest number of cakes bil can make using this recipe?
min(min(divide(15, add(2, divide(1, 2))), floor(divide(16, add(divide(3, 4), 2)))), divide(8, add(divide(1, 3), 1)))
"less work up front : go through each item and see what the greatest number of cakes you can make with each . the lowest of these will be the right answer . flour : 15 cups , we need 2.5 cups each . just keep going up the line to see how many cakes we can make : that means i can make 2 cakes with 5 cups , so 6 cakes overall with 15 cups . i ' ve already got the answer narrowed to either a or b . sugar : 16 cups , we need 2.75 cups each . same principle . i can make 2 cups with 5.5 cups , so to make 6 cakes i ' d need 16.5 cups . i do n ' t have that much sugar , so we ' re limited to 5 cakes . no need to even do milk because we ' re already at 5 . sugar will be the limiting factor . answer is a"