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ca5924d @marcia Add exercise -- simpler equivalent fractions that approaches problem …
marcia authored
1 <!DOCTYPE html>
e9807ff @jeresig Clean up the exercise files using the new cleaning utility.
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2 <html data-require="math graphie graphie-helpers word-problems"><head>
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3 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
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4 <title>Equivalent fractions</title>
5 <script src="../khan-exercise.js"></script>
ca5924d @marcia Add exercise -- simpler equivalent fractions that approaches problem …
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6 </head>
7 <body>
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8 <div class="exercise">
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9 <div class="vars" data-ensure="A &lt; B">
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10 <var id="A">randRange( 1, 3 )</var>
11 <var id="B">randRange( 2, 4 )</var>
12 <var id="M">randRange(2, 3)</var>
13 <var id="C">A * M</var>
14 <var id="D">B * M</var>
15 <var id="SYMBOL">binop( 1 )</var>
16 </div>
ca5924d @marcia Add exercise -- simpler equivalent fractions that approaches problem …
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17
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18 <div class="problems">
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19 <div id="numerator">
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20 <p class="question">What number could replace <code><var>SYMBOL</var></code> below?</p>
21 <p><code>\dfrac{<var>A</var>}{<var>B</var>} = \dfrac{<var>SYMBOL</var>}{<var>D</var>}</code></p>
0f0c630 @cbhl Clean up the exercise files using the new cleaning utility. (II)
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22 <div class="solution" data-forms="integer"><var>C</var></div>
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23 <div class="hints">
24 <div>
25 <p>The fraction on the left represents <var>A</var> out of <var>B</var> slices of a rectangular <var>pizza( 1 )</var>.</p>
26 <div class="graphie">
27 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
28 rectchart( [A, B - A], ["#e00", "#999"] );
29 </div>
30 </div>
31 <div>
32 <p>What if we cut the <var>pizza( 1 )</var> into <var>D</var> slices instead? How many slices would result in the same amount of <var>pizza( 1 )</var>?</p>
33 <div class="graphie">
34 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
35 rectchart( [0, D], ["#e00", "#999"] );
36 </div>
37 </div>
38 <div>
39 <p>We would need <var>C</var> slices.</p>
40 <div class="graphie">
41 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
42 rectchart( [C, D - C], ["#e00", "#999"] );
43 </div>
44 </div>
45 <p><code>\dfrac{<var>A</var>}{<var>B</var>} = \dfrac{<var>C</var>}{<var>D</var>}</code> and so the answer is <code><var>C</var></code>.</p>
ca5924d @marcia Add exercise -- simpler equivalent fractions that approaches problem …
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46
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47 <div>
48 <p>Another way to get the answer is to multiply by <code>\dfrac{<var>M</var>}{<var>M</var>}</code>.</p>
49 <p><code>\dfrac{<var>M</var>}{<var>M</var>} = \dfrac{1}{1} = 1</code> so really we are multiplying by 1.</p>
50 </div>
51 <p>The final equation is: <code>\dfrac{<var>A</var>}{<var>B</var>} \times \dfrac{<var>M</var>}{<var>M</var>} = \dfrac{<var>C</var>}{<var>D</var>} </code> so our answer is <code><var>C</var></code>.</p>
f609126 @koriroys adding hints about M/M=1 for equivalent fractions
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52
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53 </div>
54 </div>
ca5924d @marcia Add exercise -- simpler equivalent fractions that approaches problem …
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55
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56 <div id="denominator">
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57 <p class="question">What number could replace <code><var>SYMBOL</var></code> below?</p>
58 <p><code>\dfrac{<var>A</var>}{<var>B</var>} = \dfrac{<var>C</var>}{<var>SYMBOL</var>}</code></p>
0f0c630 @cbhl Clean up the exercise files using the new cleaning utility. (II)
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59 <div class="solution" data-forms="integer"><var>D</var></div>
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60 <div class="hints">
61 <div>
62 <p>The fraction on the left represents <var>A</var> out of <var>B</var> slices of a rectangular <var>pizza( 1 )</var>.</p>
63 <div class="graphie">
64 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
65 rectchart( [A, B - A], ["#e00", "#999"] );
66 </div>
67 </div>
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68
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69 <div>
70 <p>How many total slices would we need if we want the same amount of <var>pizza( 1 )</var> in <var>C</var> slices? </p>
71 <div class="graphie">
72 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
73 rectchart( [C, D - C], ["#e00", "#fff"] );
74 </div>
75 </div>
6371709 @spicyj Whitespace cleanup!
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76
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77 <div>
78 <p>We would need to cut the <var>pizza( 1 )</var> into <var>D</var> slices.</p>
79 <div class="graphie">
80 init({ range: [ [0, 1], [0, 1] ], scale: [180, 25] });
81 rectchart( [C, D - C], ["#e00", "#999"] );
82 </div>
83 </div>
84 <p><code>\dfrac{<var>A</var>}{<var>B</var>} = \dfrac{<var>C</var>}{<var>D</var>}</code> and so the answer is <code><var>D</var></code>.</p>
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85
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86 <div>
87 <p>Another way to get the answer is to multiply by <code>\dfrac{<var>M</var>}{<var>M</var>}</code>.</p>
88 <p><code>\dfrac{<var>M</var>}{<var>M</var>} = \dfrac{1}{1} = 1</code> so really we are multiplying by 1.</p>
89 </div>
f609126 @koriroys adding hints about M/M=1 for equivalent fractions
koriroys authored
90
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91 <p>The final equation is: <code>\dfrac{<var>A</var>}{<var>B</var>} \times \dfrac{<var>M</var>}{<var>M</var>} = \dfrac{<var>C</var>}{<var>D</var>} </code> so our answer is <code><var>D</var></code>.</p>
ca5924d @marcia Add exercise -- simpler equivalent fractions that approaches problem …
marcia authored
92
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93 </div>
94 </div>
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95
0f0c630 @cbhl Clean up the exercise files using the new cleaning utility. (II)
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96 <div id="custom-7" data-type="numerator" data-weight="0">
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97 <div class="vars">
98 <var id="A">1</var>
99 <var id="B">2</var>
100 <var id="M">2</var>
101 <var id="C">A * M</var>
102 <var id="D">B * M</var>
103 <var id="SYMBOL">"\\otimes"</var>
104 </div>
105 </div>
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106 </div>
107 </div>
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108
109
110 </body></html>
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