# Khan/khan-exercises

Add exercise -- comparing fractions 1

1 parent 8f48497 commit a0106e4801035c73d92dafe0326e49907407473f marcia committed Jun 6, 2011
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+ randRange( 1, 14 ) + randRange( NUM_1 + 1, 15 ) + + NUM_1 + randRange( NUM_2 + 1, 15 ) + + (function() { + if ( DEN_1 < DEN_2 ) { + return ">"; + } else { + return "<"; + } + })() + DEN_1 > DEN_2 ? "more" : "fewer" + DEN_1 > DEN_2 ? "smaller" : "bigger" + DEN_1 > DEN_2 ? "less" : "more" + SMALLER === "smaller" ? "bigger" : "smaller" +
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Fill in the blank.

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+ \dfrac{NUM_1}{DEN_1} + ____\dfrac{NUM_2}{DEN_2} +

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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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+ randRange( 1, 14 ) + randRange( NUM_1 + 1, 15 ) + + DEN_1 + randRange( 1, DEN_2 - 1 ) + + (function() { + if ( NUM_1 < NUM_2 ) { + return "<"; + } else { + return ">"; + } + })() + NUM_1 < NUM_2 ? "less" : "more" +
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Fill in the blank.

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+ \dfrac{NUM_1}{DEN_1} + ____\dfrac{NUM_2}{DEN_2} +

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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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