randRange(2, 8) randRange(2, 9)

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

DENOMINATOR * INTEGER

Imagine we have \blue{INTEGER} objects and divide them each into pieces \dfrac{1}{DENOMINATOR} of the size.

var h = ceil(INTEGER / 4); init({ range: [[0, 4], [0, h]], scale: 90 }); var x = 0.5; var y = 0.5; var r = 0.45; var p = Math.PI * 2 / DENOMINATOR; for (var i=0; i < INTEGER; i++) { circle([x, y], r, {fill: BLUE, stroke: "none"}); for (var j=0; j < DENOMINATOR; j++) { line([x, y], [x + r * Math.sin(j * p), y + r * Math.cos(j * p)], {stroke: KhanUtil._BACKGROUND}); } x++; if (x > INTEGER / h) { x = 0.5; y++; } }

In total we have INTEGER \times DENOMINATOR pieces.

INTEGER \times DENOMINATOR = INTEGER * DENOMINATOR

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