# Khan/khan-exercises

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 a0106e4 Add exercise -- comparing fractions 1 marcia authored Jun 6, 2011 1 1d5ae91 Two graph divs instead of one marcia authored Jun 13, 2011 2 a0106e4 Add exercise -- comparing fractions 1 marcia authored Jun 6, 2011 3 4 Comparing Fractions 1 5 6 7 6371709 Whitespace cleanup! spicyj authored Jun 21, 2011 8 12
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16 randRange( 1, 14 ) 17 randRange( NUM_1 + 1, 15 ) 6371709 Whitespace cleanup! spicyj authored Jun 21, 2011 18 a0106e4 Add exercise -- comparing fractions 1 marcia authored Jun 6, 2011 19 NUM_1 20 randRange( NUM_2 + 1, 15 ) 21 22 (function() { 23 if ( DEN_1 < DEN_2 ) { 24 return ">"; 25 } else { 26 return "<"; 27 } 28 })() 29 DEN_1 > DEN_2 ? "more" : "fewer" 30 DEN_1 > DEN_2 ? "smaller" : "bigger" 31 DEN_1 > DEN_2 ? "less" : "more" 32 SMALLER === "smaller" ? "bigger" : "smaller" 33
6371709 Whitespace cleanup! spicyj authored Jun 21, 2011 34 a0106e4 Add exercise -- comparing fractions 1 marcia authored Jun 6, 2011 35
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Fill in the blank.

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38 \dfrac{NUM_1}{DEN_1} 39 ____\dfrac{NUM_2}{DEN_2} 40

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SOLUTION

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ababc88 Add a pie to comparing fractions marcia authored Jun 13, 2011 48
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This is like comparing two equally sized pizzas where one is cut into DEN_1 equal slices and the other is cut into DEN_2 equal slices.

1d5ae91 Two graph divs instead of one marcia authored Jun 13, 2011 50
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52 piechart( [NUM_1, DEN_1 - NUM_1], ["#ee0000", "#999"], 50 ); 53
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55 piechart( [NUM_2, DEN_2 - NUM_2], ["#ee0000", "#999"], 50 ); 56
ababc88 Add a pie to comparing fractions marcia authored Jun 13, 2011 57
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a0106e4 Add exercise -- comparing fractions 1 marcia authored Jun 6, 2011 59

Note that cutting a pizza into more slices will result in smaller slices.

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The left fraction represents a pizza with MORE slices, and so each slice is SMALLER.

1d5ae91 Two graph divs instead of one marcia authored Jun 13, 2011 61

NUM_1 SMALLER sliceplural( NUM_1 ) is LESS pizza than NUM_2 BIGGER sliceplural( NUM_2 ).

a0106e4 Add exercise -- comparing fractions 1 marcia authored Jun 6, 2011 62

So, \dfrac{NUM_1}{DEN_1} SOLUTION \dfrac{NUM_2}{DEN_2}

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6371709 Whitespace cleanup! spicyj authored Jun 21, 2011 65 a0106e4 Add exercise -- comparing fractions 1 marcia authored Jun 6, 2011 66
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68 randRange( 1, 14 ) 69 randRange( NUM_1 + 1, 15 ) 6371709 Whitespace cleanup! spicyj authored Jun 21, 2011 70 a0106e4 Add exercise -- comparing fractions 1 marcia authored Jun 6, 2011 71 DEN_1 72 randRange( 1, DEN_2 - 1 ) 73 74 (function() { 75 if ( NUM_1 < NUM_2 ) { 76 return "<"; 77 } else { 78 return ">"; 79 } 80 })() 81 NUM_1 < NUM_2 ? "less" : "more" 82
6371709 Whitespace cleanup! spicyj authored Jun 21, 2011 83 a0106e4 Add exercise -- comparing fractions 1 marcia authored Jun 6, 2011 84
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Fill in the blank.

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87 \dfrac{NUM_1}{DEN_1} 88 ____\dfrac{NUM_2}{DEN_2} 89

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SOLUTION

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ababc88 Add a pie to comparing fractions marcia authored Jun 13, 2011 97
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This is like considering two equally sized pizzas that have been cut into DEN_1 equal slices.

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Since both pizzas have the same number of slices, all the slice are the same size.

1d5ae91 Two graph divs instead of one marcia authored Jun 13, 2011 100
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102 piechart( [NUM_1, DEN_1 - NUM_1], ["#ee0000", "#999"], 50 ); 103
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105 piechart( [NUM_2, DEN_2 - NUM_2], ["#ee0000", "#999"], 50 ); 106
6371709 Whitespace cleanup! spicyj authored Jun 21, 2011 107
ababc88 Add a pie to comparing fractions marcia authored Jun 13, 2011 108
1d5ae91 Two graph divs instead of one marcia authored Jun 13, 2011 109

plural( NUM_1, "slice" ) is LESS pizza than plural( NUM_2, "slice" ).

a0106e4 Add exercise -- comparing fractions 1 marcia authored Jun 6, 2011 110

So, \dfrac{NUM_1}{DEN_1} SOLUTION \dfrac{NUM_2}{DEN_2}

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115 6371709 Whitespace cleanup! spicyj authored Jun 21, 2011 116
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