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Grade 4 · Fractions

Food-bank packing: repeat a fractional amount

A plan for a food-bank packing station calls for 4 portions, each 4/4 of a unit. 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
Food-bank packing: repeat a fractional amount. Completed repetitions: 0. Exact final product: 16/4. Final value: 44 × 4/4 = 16/44/44/44/44/4Each new card contributes one identical amount.
The quantities are invented for this investigation. Controls change the model rather than real-world records. Displayed decimals are rounded; whole-number counts are exact.

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.

Completed repetitions
0
Exact final product
16/4
Final value
4

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 plan for a food-bank packing station calls for 4 portions, each 4/4 of a unit. Multiplying a fraction by a whole count repeats the fractional amount. The denominator still describes the same quarter-unit, while the numerator accumulates the total number of quarters. 16 quarters form 4/1 units. The units do not become smaller just because more portions were requested.

A relationship to keep

4 × 4/4 = 16/4

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 plan for a food-bank packing station calls for 4 portions, each 4/4 of a unit. Identify what each number measures before changing a control; the worked example refers to these starting values.

  2. STEP 2

    Follow the mathematical change

    Add one complete portion at a time. The running count is in quarters even when enough quarters have accumulated to make multiple wholes. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    16 quarters form 4/1 units. The units do not become smaller just because more portions were requested. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

Food-bank packing: use the original situation. A plan for a food-bank packing station calls for 4 portions, each 4/4 of a unit. How much supply would one additional portion require in total?

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

Compare your explanation

20/4 units, which is the original amount plus 4/4.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 4 · Algebra

Repeat a fractional amount

Multiply a fraction by a whole number as repeated addition.