randRange(1, 9) randRange(3, 9) ceil(NUM_1 / DEN_1) NUM_1 - (WHOLES - 1) * DEN_1

What fraction of the circle is shaded red?

This circle represents one whole.

init({ range: [[0, 6], [-2.1, 2.1]], scale: 25 }); piechart([0, DEN_1], [RED, "#999"], 2, false, 3, 0);

What fraction is shaded red below?

init({ range: [[0, 6 * WHOLES], [-2.1, 2.1]], scale: 25 }); for (var i = 0; i < WHOLES; i++) { if (i === 0) { piechart([FINAL, DEN_1 - FINAL], [RED, "#999"], 2, false, (i + 1) * 3, 0); } else { piechart([DEN_1, 0], [RED, "#999"], 2, false, i * 6 + 3, 0); } }

NUM_1 / DEN_1

To find the numerator, count the red slices.

There is `NUM_1` red slice.

There are `NUM_1` red slices.

To find the denominator, count the total number of slices in the circle.

To find the denominator, count the total number of slices in a circle.

There are `DEN_1` slices in the circle.

There are `DEN_1` slices in a circle.

So the answer is `\dfrac{\red{NUM_1}}{DEN_1}`.

What fraction of the rectangle is shaded red?

This rectangle represents one whole.

init({ range: [[0, 1], [0, 1]], scale: [250, 25] }); rectchart([0, DEN_1], [RED, "#999"], 0);

What fraction is shaded red below?

init({ range: [[0, 1], [0, 2 * WHOLES - 1]], scale: [250, 25] }); for (var i = 0; i < WHOLES; i++) { if (i === 0) { rectchart([FINAL, DEN_1 - FINAL], [RED, "#999"], i * 2); } else { rectchart([DEN_1, 0], [RED, "#999"], i * 2); } }

NUM_1 / DEN_1

To find the numerator, count the red blocks.

There is `NUM_1` red block.

There are `NUM_1` red blocks.

To find the denominator, count the total blocks in the rectangle.

To find the denominator, count the total blocks in a rectangle.

There are `DEN_1` blocks in the rectangle.

There are `DEN_1` blocks in a rectangle.

So the answer is `\dfrac{\red{NUM_1}}{DEN_1}`.