Math With AmarA C A D E M Y
All math animations

Grade 4 · Fractions

School-newspaper copies: explain equivalent fraction names

At a school newspaper room, 4/4 of a strip is selected and every quarter is divided into 5 smaller equal pieces. 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
School-newspaper copies: explain equivalent fraction names. Original fraction: 4/4. After all cuts: 20/20. Same amount: 14/4 = 20/20Original quartersAfter subdivisionNew cuts change the names, not the colored length.
Both strips represent the same whole. The original denominator is four. A partial cut is a construction step; the displayed renamed fraction describes the completed subdivision.

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.

Original fraction
4/4
After all cuts
20/20
Same amount
1

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.

At a school newspaper room, 4/4 of a strip is selected and every quarter is divided into 5 smaller equal pieces. Equivalent fractions rename the same amount. Subdivide selected and unselected parts by the same factor; changing only the numerator would alter the amount instead of its name. There are 20 selected small pieces among 20 in the whole. Both counts grew by the factor 5.

A relationship to keep

4/4 = 20/20

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

    At a school newspaper room, 4/4 of a strip is selected and every quarter is divided into 5 smaller equal pieces. 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 two equal-length strips as the extra cuts appear. Their colored lengths remain aligned throughout the construction. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    There are 20 selected small pieces among 20 in the whole. Both counts grew by the factor 5. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

School-newspaper copies: use the original situation. At a school newspaper room, 4/4 of a strip is selected and every quarter is divided into 5 smaller equal pieces. If every quarter were divided into 6 pieces instead, what equivalent fraction would result?

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

Compare your explanation

24/24. Multiply both 4 and 4 by 6.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 4 · Algebra

Group fraction pieces to simplify

Rename a fraction by dividing numerator and denominator by a common factor.