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Grade 5 · Fractions

Community-park layout: add thirds and fourths in twelfths

A measured supply at a community-park design combines 1/3 of a unit with another 7/4 of the same 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
Community-park layout: add thirds and fourths in twelfths. Exact final result: 25/12. Simplified result: 25/12. Current represented amount: 0.3331/3 + 7/4 = 25/12First amountCurrent combined amountWhole-unit marks: 0 to 2The bars share one scale and one whole-unit size.
Both fractions refer to the same unit. The display uses a shared linear scale and permits amounts above one. Subtraction controls keep the final amount nonnegative; rounding is used only for decimal readouts.

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.

Exact final result
25/12
Simplified result
25/12
Current represented amount
0.333

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 measured supply at a community-park design combines 1/3 of a unit with another 7/4 of the same unit. Fractions can be combined by counting a common fractional unit. Equivalent renaming changes the denominator and numerator together, allowing the signed counts to be added or subtracted without changing the original amounts. Rename the amounts as 4/12 and 21/12. The result simplifies to 25/12.

A relationship to keep

1/3 + 7/4 = 25/12

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 measured supply at a community-park design combines 1/3 of a unit with another 7/4 of the same 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

    Compare the original amounts on a common scale, then track the second contribution joining or leaving the first amount. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    Rename the amounts as 4/12 and 21/12. The result simplifies to 25/12. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

Community-park layout: use the original situation. A measured supply at a community-park design combines 1/3 of a unit with another 7/4 of the same unit. What exact amount remains after the stated combination? Explain the common unit.

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

Compare your explanation

25/12 = 25/12 units. Both terms are counted in 12ths before the addition.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 5 · Algebra

Add fractions with different units

Create common fractional units before adding unlike fractions.