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Fraction practice worksheet with visual models of shapes to help students understand parts of a group.

Worksheet titled "Parts of a Group (A)" showing various shapes grouped to represent fractions, with examples and exercises for writing fractions based on filled and unfilled shapes.

Worksheet titled "Parts of a Group (A)" showing various shapes grouped to represent fractions, with examples and exercises for writing fractions based on filled and unfilled shapes.

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Show Answer Key & Explanations Step-by-step solution for: The Parts of a Group Fraction Models Up to Eighths (All) math ...
Let’s go through each model one by one and count:

1. Green octagons (top left)
- Total shapes: 4 rows × 5 columns = 20
- Filled in (solid green): First 4 columns are filled → 4 × 4 = 16? Wait, let’s count carefully.
Actually, looking at the grid:
Row 1: 4 filled, 1 empty → 4
Row 2: 4 filled, 1 empty → 4
Row 3: 4 filled, 1 empty → 4
Row 4: 4 filled, 1 empty → 4
So total filled = 4 + 4 + 4 + 4 = 16
Total shapes = 20
Fraction = 16/20 → simplify: divide numerator and denominator by 4 → 4/5

Wait — actually, let me recount from the image description:
It says “green octagons” — first 4 columns solid green, last column outline only.
So 4 columns × 4 rows = 16 filled.
Total = 5 columns × 4 rows = 20.
Yes, 16/20 = 4/5.

But wait — maybe I miscounted rows? Let me check again.

Actually, looking back: it's 4 rows of 5 shapes each → 20 total.
Filled: first 4 in each row → 4 per row × 4 rows = 16.
Yes. 16/20 = 4/5.

2. Red stars (top right)
- 3 rows × 3 columns = 9 total
- Filled: first 2 columns are solid red → 2 per row × 3 rows = 6
- Last column is outline → not filled
- So fraction = 6/9 → simplify: divide by 3 → 2/3

3. Black stars (middle left)
- 2 rows × 6 columns = 12 total
- Filled: first 3 in top row are black → 3
- Bottom row all outlines → 0
- So filled = 3
- Fraction = 3/12 → simplify: divide by 3 → 1/4

4. Red triangles (middle right)
- 4 rows × 5 columns = 20 total
- Filled: first column is solid red → 4 filled (one per row)
- Rest are outlines
- So fraction = 4/20 → simplify: divide by 4 → 1/5

5. Orange circles (bottom left)
- 3 rows × 6 columns = 18 total
- Filled: first column is solid orange → 3 filled (one per row)
- Rest are outlines
- So fraction = 3/18 → simplify: divide by 3 → 1/6

6. Blue diamonds (bottom middle)
- 4 rows × 4 columns = 16 total
- Filled: first 2 in top row are solid blue → 2
- All others are outlines
- So filled = 2
- Fraction = 2/16 → simplify: divide by 2 → 1/8

7. Brown hexagons (bottom left, second from bottom)
- 3 rows × 3 columns = 9 total
- Filled: first column is solid brown → 3 filled
- Rest are outlines
- So fraction = 3/9 → simplify: divide by 3 → 1/3

8. Green squares (bottom right)
- 3 rows × 6 columns = 18 total
- Filled: first 3 columns are solid green → 3 per row × 3 rows = 9
- Last 3 columns are outlines
- So fraction = 9/18 → simplify: divide by 9 → 1/2

Now let’s list them in order as they appear on the worksheet (left to right, top to bottom):

Top row:
- Green octagons: 16/20 = 4/5
- Red stars: 6/9 = 2/3

Second row:
- Black stars: 3/12 = 1/4
- Red triangles: 4/20 = 1/5

Third row:
- Orange circles: 3/18 = 1/6
- Blue diamonds: 2/16 = 1/8

Fourth row:
- Brown hexagons: 3/9 = 1/3
- Green squares: 9/18 = 1/2

Final Answer:
4/5, 2/3, 1/4, 1/5, 1/6, 1/8, 1/3, 1/2
Parent Tip: Review the logic above to help your child master the concept of parts of a set fractions worksheet.
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