Mueve el \color{orange}{\text{ORANGE_DOT}} a \color{orange}{NUMBER} en la recta númerica.
init({range:[[(LOWER_BOUND-.5)*abs(DENOMINATOR),(UPPER_BOUND+.5)*abs(DENOMINATOR)],[-1,1]],scale:[70/abs(DENOMINATOR),40]}),style({arrows:">"}),line([0,0],[(UPPER_BOUND+.25)*abs(DENOMINATOR),0]),style({arrows:"->"}),line([0,0],[(LOWER_BOUND-.25)*abs(DENOMINATOR),0]),style({arrows:""});for(var x=LOWER_BOUND;UPPER_BOUND>=x;x++)line([x*abs(DENOMINATOR),-.2],[x*abs(DENOMINATOR),.2]);style({stroke:GREEN,strokeWidth:3.5}),line([LOWER_BOUND*abs(DENOMINATOR),-.2],[LOWER_BOUND*abs(DENOMINATOR),.2]),label([LOWER_BOUND*abs(DENOMINATOR),-.53],LOWER_BOUND,"center",{color:GREEN}),line([UPPER_BOUND*abs(DENOMINATOR),-.2],[UPPER_BOUND*abs(DENOMINATOR),.2]),label([UPPER_BOUND*abs(DENOMINATOR),-.53],UPPER_BOUND,"center",{color:GREEN}),line([0,-.2],[0,.2]),label([0,-.53],"0","center",{color:GREEN}),addMouseLayer(),graph.movablePoint=addMovablePoint({constraints:{constrainY:!0},snapX:1}),graph.movablePoint.onMove=function(e,r){return[min(max(LOWER_BOUND*abs(DENOMINATOR),e),UPPER_BOUND*abs(DENOMINATOR)),r]}
Como \color{orange}{NUMBER} es positivo negativo el punto anaranjado estará a la derecha izquierda de 0.
Convirtamos la fracción impropia \color{orange}{NUMBER} a una fracción mixta:
\color{orange}{NUMBER} = \color{blue}{M_NUMBER}
Por lo tanto, sabemos que \color{blue}{M_NUMBER} se encuentra entre \color{green}{M_WHOLE} y \color{green}{M_WHOLE + (SOLUTION > 0 ? 1 : -1)} en la recta numérica.
style({stroke:"#FFA500",strokeWidth:3.5}),line([M_WHOLE*abs(DENOMINATOR),-.2],[M_WHOLE*abs(DENOMINATOR),.2]),line([(M_WHOLE+(SOLUTION>0?1:-1))*abs(DENOMINATOR),-.2],[(M_WHOLE+(SOLUTION>0?1:-1))*abs(DENOMINATOR),.2])
\color{blue}{M_NUMBER} es \color{green}{fraction(M_NUMERATOR, DENOMINATOR)} a la derechaizquierda de \color{green}{M_WHOLE} en la recta númerica.
style({stroke:GREEN,fill:"#6495ED",strokeWidth:3.5,arrows:"->"}),line([M_WHOLE*abs(DENOMINATOR),0],[SOLUTION*abs(DENOMINATOR),0]),graph.movablePoint.visibleShape.toFront(),style({stroke:"#FFA500",strokeWidth:3.5,arrows:""}),line([M_WHOLE*abs(DENOMINATOR),-.2],[M_WHOLE*abs(DENOMINATOR),.2]),line([(M_WHOLE+(SOLUTION>0?1:-1))*abs(DENOMINATOR),-.2],[(M_WHOLE+(SOLUTION>0?1:-1))*abs(DENOMINATOR),.2])
label([SOLUTION*abs(DENOMINATOR),-.83],NUMBER,"center",{color:"#FFA500"}),graph.movablePoint.moveTo(SOLUTION*abs(DENOMINATOR),0)
El punto anaranjado muestra la posición del \color{orange}{NUMBER} en la recta numérica.