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Grade 3 · Fractions

Theater seats: count equal fractional pieces

A supply strip for a small theater is cut into 6 equal pieces per whole, and 5 pieces are selected. Change the controls and explain what the animation reveals.

Predict what will happen, press Play, then pause and explain what changed. Every control also works without playback.

Watch the relationship

Paused
Theater seats: count equal fractional pieces. Pieces shown: 0. Pieces per whole: 6. Full amount: 5/6 = 0.8335 pieces of 1/6 = 5/6Every outlined whole has the same size.
Every whole has the same size and is partitioned into equal pieces. Improper fractions are allowed. The diagram shows enough full outlines to contain all selected pieces.

Starts paused. Play once, pause anywhere, or use Step to inspect the mathematics. Playback stops when this panel leaves the screen.

Make it your experiment

Change one value. Notice what follows.

The controls adjust the model. Numbers below describe the current frame. Decimals are rounded.

Pieces shown
0
Pieces per whole
6
Full amount
5/6 = 0.833

HD animation studio

From experiment to screen.

Present a crisp Canvas scene, save a full-HD image, or capture your model as a silent video.

Understand what you are seeing

The idea behind the motion.

A supply strip for a small theater is cut into 6 equal pieces per whole, and 5 pieces are selected. The denominator sets the size of one fractional unit. The numerator counts those units. Enough selected pieces can fill more than one whole, so fractions need not be less than one. 5/6 has value 0.833 approximately. The exact fractional name remains valid even when its decimal does not terminate.

A relationship to keep

5 pieces of 1/6 = 5/6

Read the symbols alongside the explanation. A diagram shows the relationship; the assumptions tell you when it applies.

  1. STEP 1

    Read the starting situation

    A supply strip for a small theater is cut into 6 equal pieces per whole, and 5 pieces are selected. Identify what each number measures before changing a control; the worked example refers to these starting values.

  2. STEP 2

    Follow the mathematical change

    Color selected pieces in order, beginning a new equal-sized whole whenever the previous whole is full. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    5/6 has value 0.833 approximately. The exact fractional name remains valid even when its decimal does not terminate. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

Theater seats: use the original situation. A supply strip for a small theater is cut into 6 equal pieces per whole, and 5 pieces are selected. What fraction would one additional piece of the same size represent?

Use the values specified in the question. Reset restores the initial values for this investigation.

Compare your explanation

6/6. The denominator stays 6 because the size of each piece does not change.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 3 · Algebra

Write whole numbers as fractions

Recognize that enough fractional units can make whole numbers.