4th Grade Math • 4.NF.A.1 Visual Lab

Equivalent Fractions & Fraction Slicer

Cut fraction bars into smaller equal pieces. See how two fractions can name the same amount.

✂️ The Fraction Slicer

Pick a fraction. Then cut every piece into the same number of smaller pieces.

1. Pick a Fraction
Or make your own:
2
/
3
2. Split each piece into:
0 1/4 1/2 3/4 1 Whole
Same amount!
First Fraction Before cutting
2/3
New Fraction Cut by ×2
4/6
🍫

It is the same chocolate—just smaller pieces!

Look at the green line! Both bars end at the exact same spot. When you cut each 1/3 piece into 2 slices, you now have 6 pieces in the whole bar, and your 2 pieces became 4 slices.

The Same-Amount Rule
2 3
=
2 × 2 3 × 2
=
4 6

Multiply the top and bottom by the same number. The fraction still names the same amount.

Why it works:
1
Top number (shaded pieces): You had 2 pieces. Slicing by 2 gives 2 × 2 = 4 shaded pieces.
2
Bottom number (all the pieces): The whole bar had 3 pieces. Slicing by 2 gives 3 × 2 = 6 total pieces.
3
Conclusion: Because every piece was divided equally, 2/3 and 4/6 are equal.

🧱 Interactive Fraction Wall

Click a fraction piece to find other fractions that show the same amount.

0 1/4 1/3 1/2 2/3 3/4 1 Whole
1 Whole
1
Halves
1/2
1/2
Thirds
1/3
1/3
1/3
Fourths
1/4
1/4
1/4
1/4
Fifths
1/5
1/5
1/5
1/5
1/5
Sixths
1/6
1/6
1/6
1/6
1/6
1/6
Eighths
1/8
1/8
1/8
1/8
1/8
1/8
1/8
1/8
Tenths
1/10
1/10
1/10
1/10
1/10
1/10
1/10
1/10
1/10
1/10
Twelfths
1/12
1/12
1/12
1/12
1/12
1/12
1/12
1/12
1/12
1/12
1/12
1/12
🔍 Fraction Finder Click a piece above!

Click a fraction piece to find pieces that end at the same spot.

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Cases Solved 0
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Accuracy 100%
CASE FILE #101 • 4TH GRADE DETECTIVE

Which fraction names the same amount as:

3 4