Fraction shading exercise for students to practice visualizing and coloring fractions in different shapes.
Worksheet titled "Shade fractions in shapes" with various geometric figures divided into equal parts, each labeled with a fraction to be shaded.
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable primary math worksheet for math grades 1 to 6 based on ...
Let's solve each of the fraction shading problems step by step. The goal is to shade the correct number of parts in each shape based on the given fraction.
We'll go through each shape and explain how many parts to shade, keeping in mind:
- The denominator tells us into how many equal parts the shape is divided.
- The numerator tells us how many of those parts to shade.
---
- Shape: Rectangle divided into 2 equal parts (vertical split).
- Fraction: ½ → shade 1 out of 2 parts.
✔ Shade 1 rectangle half.
---
- Shape: Large triangle divided into 4 smaller triangles (like a larger triangle split into 4 congruent ones).
- Fraction: ¾ → shade 3 out of 4 small triangles.
✔ Shade 3 small triangles.
---
- Shape: Square divided into 4 equal smaller squares (2×2 grid).
- Fraction: ¼ → shade 1 out of 4 squares.
✔ Shade 1 small square.
---
- Shape: Rhombus divided into 3 equal rhombuses (side-by-side).
- Fraction: ⅓ → shade 1 out of 3 parts.
✔ Shade 1 of the 3 rhombuses.
---
- Shape: A hexagon divided into 6 equal triangles from the center.
- Fraction: ³⁄₆ → simplify: ³⁄₆ = ½, so shade 3 out of 6 triangles.
✔ Shade 3 of the 6 triangular sections.
---
- Shape: A parallelogram divided into 8 equal small triangles (likely arranged in two rows of 4).
- Fraction: ⁷⁄₈ → shade 7 out of 8 triangles.
✔ Shade 7 small triangles.
---
- Shape: Same as before — hexagon divided into 6 equal triangles.
- Fraction: ⁴⁄₆ → simplify: ²⁄₃, so shade 4 out of 6 triangles.
✔ Shade 4 of the 6 triangles.
---
- Shape: 3×3 grid = 9 equal squares.
- Fraction: ⁵⁄₉ → shade 5 out of 9 squares.
✔ Shade any 5 squares.
---
- Shape: Made of 6 unit squares (like a T-shaped polyomino).
- Fraction: ²⁄₆ → simplify: ¹⁄₃, so shade 2 out of 6 squares.
✔ Shade 2 of the 6 squares.
---
- Shape: Made of 5 identical triangles (arranged like an arrow).
- Fraction: ⁴⁄₅ → shade 4 out of 5 triangles.
✔ Shade 4 triangles.
---
- Shape: Looks like a central square with 4 triangles around it? Wait — actually, it's divided into 6 equal triangular parts (like a star or pinwheel).
- Fraction: ⁵⁄₆ → shade 5 out of 6 triangles.
✔ Shade 5 of the 6 triangular sections.
---
- Shape: Square rotated (diamond), divided into 4 equal smaller diamonds or triangles.
- Fraction: ²⁄₄ → simplify: ½ → shade 2 out of 4 parts.
✔ Shade 2 of the 4 sections.
---
- Shape: 3×4 grid = 12 squares.
- Fraction: ⁵⁄₁₂ → shade 5 out of 12 squares.
✔ Shade 5 squares.
---
- Shape: 2×3 grid = 6 squares.
- Fraction: ⁴⁄₆ → simplify: ²⁄₃ → shade 4 out of 6 squares.
✔ Shade 4 squares.
---
- Shape: 3×3 grid = 9 squares.
- Fraction: ⁸⁄₉ → shade 8 out of 9 squares.
✔ Shade 8 squares.
---
| Shape | Fraction | Parts Total | Shade Count |
|------|---------|-------------|-------------|
| 1. Rectangle | ½ | 2 | 1 |
| 2. Triangle | ¾ | 4 | 3 |
| 3. Square | ¼ | 4 | 1 |
| 4. Rhombus | ⅓ | 3 | 1 |
| 5. Hexagon | ³⁄₆ | 6 | 3 |
| 6. Parallelogram | ⁷⁄₈ | 8 | 7 |
| 7. Hexagon | ⁴⁄₆ | 6 | 4 |
| 8. 3×3 Grid | ⁵⁄₉ | 9 | 5 |
| 9. T-shape | ²⁄₆ | 6 | 2 |
| 10. Arrow | ⁴⁄₅ | 5 | 4 |
| 11. Star-like | ⁵⁄₆ | 6 | 5 |
| 12. Diamond | ²⁄₄ | 4 | 2 |
| 13. 3×4 Grid | ⁵⁄₁₂ | 12 | 5 |
| 14. 2×3 Grid | ⁴⁄₆ | 6 | 4 |
| 15. 3×3 Grid | ⁸⁄₉ | 9 | 8 |
---
- Always count the total number of equal parts.
- Simplify fractions if needed (e.g., ⁴⁄₆ = ²⁄₃), but shade based on original denominator unless the shape reflects simplified form.
- For irregular shapes, ensure all parts are equal in size (as implied in such exercises).
You can now go through each shape and shade accordingly using the counts above.
Let me know if you'd like a visual guide or printable version!
We'll go through each shape and explain how many parts to shade, keeping in mind:
- The denominator tells us into how many equal parts the shape is divided.
- The numerator tells us how many of those parts to shade.
---
1. Rectangle – Shade ½
- Shape: Rectangle divided into 2 equal parts (vertical split).
- Fraction: ½ → shade 1 out of 2 parts.
✔ Shade 1 rectangle half.
---
2. Triangle – Shade ¾
- Shape: Large triangle divided into 4 smaller triangles (like a larger triangle split into 4 congruent ones).
- Fraction: ¾ → shade 3 out of 4 small triangles.
✔ Shade 3 small triangles.
---
3. Square – Shade ¼
- Shape: Square divided into 4 equal smaller squares (2×2 grid).
- Fraction: ¼ → shade 1 out of 4 squares.
✔ Shade 1 small square.
---
4. Rhombus (diamond) – Shade ⅓
- Shape: Rhombus divided into 3 equal rhombuses (side-by-side).
- Fraction: ⅓ → shade 1 out of 3 parts.
✔ Shade 1 of the 3 rhombuses.
---
5. Hexagon – Shade ¾ (but written as 3/6)
- Shape: A hexagon divided into 6 equal triangles from the center.
- Fraction: ³⁄₆ → simplify: ³⁄₆ = ½, so shade 3 out of 6 triangles.
✔ Shade 3 of the 6 triangular sections.
---
6. Parallelogram – Shade 7/8
- Shape: A parallelogram divided into 8 equal small triangles (likely arranged in two rows of 4).
- Fraction: ⁷⁄₈ → shade 7 out of 8 triangles.
✔ Shade 7 small triangles.
---
7. Hexagon – Shade 4/6
- Shape: Same as before — hexagon divided into 6 equal triangles.
- Fraction: ⁴⁄₆ → simplify: ²⁄₃, so shade 4 out of 6 triangles.
✔ Shade 4 of the 6 triangles.
---
8. Grid – Shade 5/9
- Shape: 3×3 grid = 9 equal squares.
- Fraction: ⁵⁄₉ → shade 5 out of 9 squares.
✔ Shade any 5 squares.
---
9. "T" shape – Shade 2/6
- Shape: Made of 6 unit squares (like a T-shaped polyomino).
- Fraction: ²⁄₆ → simplify: ¹⁄₃, so shade 2 out of 6 squares.
✔ Shade 2 of the 6 squares.
---
10. Arrow-like shape – Shade 4/5
- Shape: Made of 5 identical triangles (arranged like an arrow).
- Fraction: ⁴⁄₅ → shade 4 out of 5 triangles.
✔ Shade 4 triangles.
---
11. Cross-shaped figure – Shade 5/6
- Shape: Looks like a central square with 4 triangles around it? Wait — actually, it's divided into 6 equal triangular parts (like a star or pinwheel).
- Fraction: ⁵⁄₆ → shade 5 out of 6 triangles.
✔ Shade 5 of the 6 triangular sections.
---
12. Diamond (square rotated) – Shade 2/4
- Shape: Square rotated (diamond), divided into 4 equal smaller diamonds or triangles.
- Fraction: ²⁄₄ → simplify: ½ → shade 2 out of 4 parts.
✔ Shade 2 of the 4 sections.
---
13. Grid – Shade 5/12
- Shape: 3×4 grid = 12 squares.
- Fraction: ⁵⁄₁₂ → shade 5 out of 12 squares.
✔ Shade 5 squares.
---
14. Grid – Shade 4/6
- Shape: 2×3 grid = 6 squares.
- Fraction: ⁴⁄₆ → simplify: ²⁄₃ → shade 4 out of 6 squares.
✔ Shade 4 squares.
---
15. Grid – Shade 8/9
- Shape: 3×3 grid = 9 squares.
- Fraction: ⁸⁄₉ → shade 8 out of 9 squares.
✔ Shade 8 squares.
---
✔ Summary of How to Shade Each:
| Shape | Fraction | Parts Total | Shade Count |
|------|---------|-------------|-------------|
| 1. Rectangle | ½ | 2 | 1 |
| 2. Triangle | ¾ | 4 | 3 |
| 3. Square | ¼ | 4 | 1 |
| 4. Rhombus | ⅓ | 3 | 1 |
| 5. Hexagon | ³⁄₆ | 6 | 3 |
| 6. Parallelogram | ⁷⁄₈ | 8 | 7 |
| 7. Hexagon | ⁴⁄₆ | 6 | 4 |
| 8. 3×3 Grid | ⁵⁄₉ | 9 | 5 |
| 9. T-shape | ²⁄₆ | 6 | 2 |
| 10. Arrow | ⁴⁄₅ | 5 | 4 |
| 11. Star-like | ⁵⁄₆ | 6 | 5 |
| 12. Diamond | ²⁄₄ | 4 | 2 |
| 13. 3×4 Grid | ⁵⁄₁₂ | 12 | 5 |
| 14. 2×3 Grid | ⁴⁄₆ | 6 | 4 |
| 15. 3×3 Grid | ⁸⁄₉ | 9 | 8 |
---
🔍 Tips:
- Always count the total number of equal parts.
- Simplify fractions if needed (e.g., ⁴⁄₆ = ²⁄₃), but shade based on original denominator unless the shape reflects simplified form.
- For irregular shapes, ensure all parts are equal in size (as implied in such exercises).
You can now go through each shape and shade accordingly using the counts above.
Let me know if you'd like a visual guide or printable version!
Parent Tip: Review the logic above to help your child master the concept of shaded fractions worksheet.
