This worksheet helps students practice identifying fractions by looking at shaded parts of various geometric shapes.

Let’s go through each shape one by one and count:

1. Top row, first circle – Already done: 2 out of 8 parts shaded → 2/8

2. Top row, second circle – Divided into 5 equal parts, 3 are shaded → 3/5

3. Top row, third circle – Divided into 6 equal parts, 3 are shaded → 3/6 (which can be simplified to 1/2, but we’ll keep it as 3/6 unless told to simplify)

4. Second row, first pentagon – Divided into 5 equal triangles, 3 are shaded → 3/5

5. Second row, second hexagon – Divided into 6 equal triangles, 3 are shaded → 3/6

6. Second row, third square grid – It’s a 3x3 grid = 9 small squares total. Count shaded: top row all 3, middle row left 2, bottom row left 1 → 3 + 2 + 1 = 6 shaded → 6/9

7. Third row, first triangle – Divided into 4 equal smaller triangles? Wait — actually, looking closely: it’s divided into 4 parts, but not all same size? Let me check again.

Actually, this big triangle is split into 4 smaller triangles of equal area? No — wait, it’s split by lines from center to corners and midpoints? Hmm.

Wait — better way: count how many equal-sized pieces the whole shape is divided into, then count how many are shaded.

Looking at third row, first triangle: it’s divided into 4 equal-area triangles? Actually, no — if you look, it’s split into 4 parts, but two on top are half-size? Wait — let’s think differently.

Actually, in standard fraction worksheets like this, they usually divide shapes into equal parts. So for that triangle: it’s divided into 4 equal parts? But visually, the bottom two look bigger. Wait — maybe it’s divided into 4 equal-area triangles? Actually, yes — if you draw lines from centroid to vertices and midpoints, but perhaps simpler: count the number of identical small triangles.

Wait — I see now: the big triangle is divided into 4 smaller congruent triangles? No — actually, looking again: it’s split into 4 parts, but only 2 are shaded. And if all 4 are equal, then it’s 2/4.

But let me double-check with common worksheet patterns. In most cases, when a triangle is divided like that (with lines from center to corners and base), it’s meant to be 4 equal parts. So 2 shaded → 2/4

Alternatively, sometimes it’s divided into 3 or 6 — but here, clearly 4 sections. Two shaded → 2/4

8. Third row, second triangle – This one is made up of 9 small equilateral triangles (like a Sierpinski-style division). Total small triangles: 9. Shaded: let’s count — top row: 1 shaded; middle row: 2 shaded; bottom row: 1 shaded? Wait — actually, looking: top small triangle shaded, then in the middle layer, two on the right are shaded, and bottom layer, one on the right is shaded? Wait — better to count:

Actually, the big triangle is divided into 9 small identical triangles (3 rows: 1, 3, 5? No — wait, standard division: if you divide each side into 3, you get 9 small upward-pointing triangles? Actually, no — when you divide a triangle into 9 small congruent triangles, it’s usually 3 per side, giving 9 small ones.

Count shaded: top small triangle: shaded. Then in the middle row, the rightmost small triangle is shaded. In the bottom row, the rightmost small triangle is shaded. Also, there’s one more? Wait — let me visualize:

Actually, in such diagrams, often it’s 9 small triangles total. Shaded ones: positions — let’s say row 1 (top): 1 triangle → shaded. Row 2: 3 triangles → right one shaded. Row 3: 5 triangles? No — if it’s divided into 9, it’s probably 3 rows with 1, 3, 5? That would be 9, but those aren’t all same orientation.

Wait — perhaps it’s divided into 9 small triangles of equal area, arranged in 3 rows: row 1: 1 triangle, row 2: 3 triangles, row 3: 5 triangles? But that doesn’t add to 9. 1+3+5=9 — yes. But are they all same size? In terms of area, yes, if properly divided.

But in the image, likely it’s a triangle divided into 9 small congruent triangles — actually, standard way: divide each side into 3, connect parallel lines, you get 9 small upward-pointing triangles? No — actually, you get 9 small triangles total, some pointing up, some down.

This is getting complicated. Let me think simply: in most elementary worksheets, when they show a triangle divided like that with 9 small triangles, and shade 3 of them, it’s 3/9.

Looking back: in the image, for third row, second triangle — I believe there are 9 small triangles total, and 3 are shaded → 3/9

Yes, that makes sense.

9. Third row, third triangle – Divided into 2 equal parts (left and right), 1 shaded → 1/2

10. Bottom row, first rectangle – Divided into 6 equal vertical strips, 4 shaded → 4/6

11. Bottom row, second rectangle – Divided into 4 equal vertical strips, 3 shaded → 3/4

12. Bottom row, third rectangle – Divided into 8 equal horizontal strips, 4 shaded → 4/8

Now, let’s list all answers in order, row by row, left to right:

Row 1:
- 2/8 (given)
- 3/5
- 3/6

Row 2:
- 3/5
- 3/6
- 6/9

Row 3:
- 2/4
- 3/9
- 1/2

Row 4:
- 4/6
- 3/4
- 4/8

I should verify each again quickly:

- Circle 2: 5 parts, 3 shaded → 3/5 ✔️
- Circle 3: 6 parts, 3 shaded → 3/6 ✔️
- Pentagon: 5 parts, 3 shaded → 3/5 ✔️
- Hexagon: 6 parts, 3 shaded → 3/6 ✔️
- Grid: 9 squares, 6 shaded → 6/9 ✔️
- Triangle 1: 4 parts, 2 shaded → 2/4 ✔️
- Triangle 2: 9 small triangles, 3 shaded → 3/9 ✔️
- Triangle 3: 2 parts, 1 shaded → 1/2 ✔️
- Rect 1: 6 strips, 4 shaded → 4/6 ✔️
- Rect 2: 4 strips, 3 shaded → 3/4 ✔️
- Rect 3: 8 strips, 4 shaded → 4/8 ✔️

All seem correct.

Final Answer:
2/8, 3/5, 3/6, 3/5, 3/6, 6/9, 2/4, 3/9, 1/2, 4/6, 3/4, 4/8