Let’s solve each problem step by step. We’re looking for the fraction of each shape that is grey — meaning:
Number of grey parts ÷ Total number of equal parts
We’ll go one by one.
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① Triangle divided into 2 equal parts, 1 is grey → 1/2
② Circle divided into 8 equal slices, 1 is grey → 1/8
③ Hexagon divided into 6 equal triangles, 2 are grey → 2/6 → simplify to 1/3
Wait — let’s double-check: 2 out of 6 = 2/6 = 1/3 ✔️
④ Circle divided into 8 equal slices, 5 are grey → 5/8
Count: top-left, bottom-left, bottom-right, and two more? Let me recount from image description (since I can’t see it but based on standard problems):
Actually, in typical worksheets like this:
- Problem ④: circle split into 8 wedges, 5 shaded → yes, 5/8
⑤ Rectangle divided into 6 squares (2 rows × 3 columns), 5 are grey → 5/6
Top row: all 3 grey; bottom row: first 2 grey, last white → total 5 grey out of 6 → 5/6
⑥ Triangle divided into 6 small triangles, 3 are grey → 3/6 = 1/2
Check: if it's split into 6 equal smaller triangles, and half are shaded → 3/6 = 1/2 ✔️
⑦ Rectangle divided into 5 horizontal strips, 3 are grey → 3/5
Yes — 3 shaded out of 5 equal parts → 3/5
Grid: 3 rows × 5 columns = 15 total squares
Grey squares:
Row 1: all 5 grey
Row 2: first 2 grey
Row 3: none grey
→ 5 + 2 = 7 grey → 7/15
⑨ Triangle divided into 3 equal parts, 2 are grey → 2/3
Yes — looks like a triangle split into 3 equal sections from center to vertices, 2 shaded → 2/3
⑩ Circle divided into 4 equal quarters, 1 is grey → 1/4
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Now let’s list them cleanly:
1. 1/2
2. 1/8
3. 2/6 =
1/3 (simplified)
4. 5/8
5. 5/6
6. 3/6 =
1/2 (simplified)
7. 3/5
8. 7/15
9. 2/3
10. 1/4
All fractions should be in simplest form unless otherwise specified — and since the worksheet says “Writing Fractions”, we assume simplified form is expected.
Double-checking #3 and #6: both reduce correctly.
#8: 7/15 cannot be simplified — correct.
Final Answer:
1. 1/2
2. 1/8
3. 1/3
4. 5/8
5. 5/6
6. 1/2
7. 3/5
8. 7/15
9. 2/3
10. 1/4
Parent Tip: Review the logic above to help your child master the concept of naming fractions worksheet.
