# Khan/khan-exercises

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 a0106e4 Add exercise -- comparing fractions 1 marcia authored Jun 6, 2011 1 2 3 4 Comparing Fractions 1 5 6 7 8 12
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16 randRange( 1, 14 ) 17 randRange( NUM_1 + 1, 15 ) 18 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
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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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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.

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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.

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NUM_1 SMALLER slices is LESS pizza than NUM_2 BIGGER slices.

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

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58 randRange( 1, 14 ) 59 randRange( NUM_1 + 1, 15 ) 60 61 DEN_1 62 randRange( 1, DEN_2 - 1 ) 63 64 (function() { 65 if ( NUM_1 < NUM_2 ) { 66 return "<"; 67 } else { 68 return ">"; 69 } 70 })() 71 NUM_1 < NUM_2 ? "less" : "more" 72
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Fill in the blank.

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77 \dfrac{NUM_1}{DEN_1} 78 ____\dfrac{NUM_2}{DEN_2} 79

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SOLUTION

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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.

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NUM_1 slices is LESS pizza than NUM_2 slices.

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

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