randRange(2, 9) 1 / DENOMINATOR randRange(2, 10) 1 / INTEGER

\large{\dfrac{1}{DENOMINATOR} \div INTEGER = {?}}

1 / (DENOMINATOR * INTEGER)
init({ range: [[-0.05, 1], [0, 1.1]], scale: 360 }); rectchart([1, DENOMINATOR - 1], [ RED, "#CCC" ]); style({ color: RED }, function() { label([DENOMINATOR_FRACTION / 2, 1.05], "\\frac{" + 1 + "}{" + DENOMINATOR + "}", "center" ); });

Divide \red{\dfrac{1}{DENOMINATOR}} into \blue{INTEGER} pieces.

rect(0, 0, DENOMINATOR_FRACTION, INTEGER_FRACTION, {fill: BLUE, stroke: KhanUtil._BACKGROUND}); style({ color: BLUE }, function() { label([0, 1 / (2 * INTEGER)], "\\frac{" + 1 + "}{" + INTEGER + "}", "left" ); }); for (var i=1; i < INTEGER; i++) { line([0, i * INTEGER_FRACTION], [DENOMINATOR_FRACTION, i * INTEGER_FRACTION], {stroke: KhanUtil._BACKGROUND}); }

Each piece is \green{\dfrac{1}{DENOMINATOR * INTEGER}} of the whole.

rect(0, 0, DENOMINATOR_FRACTION, 1, {fill: "#CCC", stroke: KhanUtil._BACKGROUND, opacity: 0.7}); rect(0, 0, DENOMINATOR_FRACTION, INTEGER_FRACTION, {fill: GREEN, stroke: KhanUtil._BACKGROUND}); style({ color: BLACK }, function() { label([DENOMINATOR_FRACTION/2, 1 / (2 * INTEGER)], "\\frac{" + 1 + "}{" + (DENOMINATOR * INTEGER) + "}", "center" ); }); for (var i=1; i < INTEGER; i++) { line([0, i * INTEGER_FRACTION], [1, i * INTEGER_FRACTION], {stroke: KhanUtil._BACKGROUND}); }

\dfrac{1}{DENOMINATOR} \div INTEGER = \dfrac{1}{DENOMINATOR * INTEGER}