# publicKhan/khan-exercises

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 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105         Fractions on the number line 1

0        1        5                [ [1, 2], [1, 3], [2, 3], [1, 4], [2, 4], [3, 4], [1, 5], [2, 5], [3, 5], [4, 5], [1, 6], [2, 6], [3, 6], [4, 6], [5, 6] ]         randFromArray(fractionArray)        fractionToFind[1]        fractionToFind[0]        LOWER_BOUND * DENOMINATOR        UPPER_BOUND * DENOMINATOR        NUMERATOR / DENOMINATOR        4.5

Move the \color{orange}{\text{orange dot}} to                \color{orange}{fraction(NUMERATOR, DENOMINATOR)} on the number line.

init({                        range: [ [LOWER_BOUND - 0.1, UPPER_BOUND + 0.1], [-1, 1] ],                        scale: [80*SCALE, 40]                    });                    // Draw Number Line                    style({arrows: ">"});                    line( [ LOWER_BOUND, 0 ], [ UPPER_BOUND + 0.25 / SCALE, 0 ] );                    style({arrows: ""});                    // Draw Number Line Tick marks                    for ( var x = LOWER_BOUND; x <= UPPER_BOUND; x += 1 / DENOMINATOR ) {                        line( [ x, -0.2 ], [ x, 0.2 ] );                    }                    // 0 and 1 tick marks                    style({ stroke: BLUE, strokeWidth: 3.5 });                    line( [ LOWER_BOUND, -0.2], [LOWER_BOUND, 0.2]);                    label( [ LOWER_BOUND, -0.53 ], LOWER_BOUND, "center", { color: BLUE });                    line( [ UPPER_BOUND, -0.2], [UPPER_BOUND, 0.2]);                    label( [ UPPER_BOUND, -0.53 ], UPPER_BOUND, "center", { color: BLUE });                    addMouseLayer();                    graph.movablePoint = addMovablePoint({ constraints: { constrainY: true }, snapX: 0.25 / DENOMINATOR });                    graph.movablePoint.onMove = function( x, y ) {                        return [ min( max( LOWER_BOUND, x ), UPPER_BOUND ), y ];                    };

graph.movablePoint.coord[0]

if ( guess === 0 ) {                        return "";                    }                    return abs( SOLUTION - guess ) < 0.001;

graph.movablePoint.setCoord( [ guess, 0 ] );

Above we've drawn the number line from 0 to 1, divided into equal pieces.

The number line is divided into DENOMINATOR equal pieces, so each piece represents                fraction(1, DENOMINATOR).

style({ stroke: "#6495ED", fill: "#6495ED", strokeWidth: 3.5, arrows: "->" });                        line( [ 0, 0 ], [ SOLUTION, 0 ] );                        graph.movablePoint.visibleShape.toFront();

The orange dot should be shifted NUMERATOR                    segmentplural(NUMERATOR) over, as fraction(NUMERATOR, DENOMINATOR) =                    NUMERATOR*fraction(1, DENOMINATOR)

label( [ SOLUTION, -0.83 ], fraction(NUMERATOR, DENOMINATOR), "center", { color: "#FFA500" });                        graph.movablePoint.moveTo( SOLUTION, 0 );

The orange number shows where \color{orange}{fraction(NUMERATOR, DENOMINATOR)} is on the number line.

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