Fraction practice worksheet using shapes to illustrate parts of a whole.
A worksheet titled "Fractions of shapes" with various geometric shapes divided into parts, showing fractions like 1/2, 1/3, and 1/4 to teach fraction concepts.
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Show Answer Key & Explanations
Step-by-step solution for: Fractions of shapes | 3rd grade Math Worksheet | GreatSchools
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Show Answer Key & Explanations
Step-by-step solution for: Fractions of shapes | 3rd grade Math Worksheet | GreatSchools
Since I can't view or access images directly, I can't see the specific shapes or fractions in your uploaded image. However, based on the description you've provided — "Fractions of shapes" worksheet with instructions like “Shade 1/2 of each shape,” “Shade 3/4 of each shape,” etc. — I can help you solve and explain how to approach such problems.
Let me walk you through how to solve a typical "Fractions of Shapes" worksheet like the one described.
---
The task is to shade parts of shapes according to given fractions.
Each shape is divided into equal parts. You need to shade the correct number of parts based on the fraction.
---
#### 1. Understand the Fraction
A fraction like $ \frac{a}{b} $ means:
- Divide the shape into b equal parts.
- Shade a of those parts.
Example: $ \frac{3}{4} $ → divide into 4 parts, shade 3.
---
#### 🔹 Shade $ \frac{1}{2} $ of each shape
- Rectangle divided into 4 squares:
→ Total parts = 4
→ $ \frac{1}{2} $ of 4 = 2
→ Shade 2 squares
- Circle divided into 8 slices:
→ $ \frac{1}{2} $ of 8 = 4
→ Shade 4 slices
- Vertical rectangle with 6 small rectangles:
→ $ \frac{1}{2} $ of 6 = 3
→ Shade 3 parts
---
#### 🔹 Shade $ \frac{3}{4} $ of each shape
- Rectangle with 4 boxes:
→ $ \frac{3}{4} $ → shade 3 out of 4
- Circle with 4 quarters:
→ Shade 3 quarters
- Grid of 12 squares (3×4):
→ $ \frac{3}{4} $ of 12 = $ 12 × \frac{3}{4} = 9 $
→ Shade 9 squares
---
#### 🔹 Shade $ \frac{1}{3} $ of each shape
- Rectangle with 6 parts:
→ $ \frac{1}{3} $ of 6 = 2 → shade 2 parts
- Circle with 6 slices:
→ $ \frac{1}{3} $ of 6 = 2 → shade 2 slices
- Grid of 9 squares (3×3):
→ $ \frac{1}{3} $ of 9 = 3 → shade 3 squares
---
#### 🔹 Now, Shade the fraction of each shape (given as fractions)
These are more advanced: you're told the fraction and must determine how many parts to shade.
| Shape | Fraction | How to Solve |
|------|---------|-------------|
| Rectangle with 10 parts | $ \frac{6}{10} $ | Shade 6 parts |
| Grid of 12 squares | $ \frac{8}{12} $ | Shade 8 squares |
| Circle divided into 8 | $ \frac{3}{8} $ | Shade 3 parts |
| Grid of 12 squares | $ \frac{1}{6} $ | $ \frac{1}{6} $ of 12 = 2 → shade 2 |
| Circle divided into 12 | $ \frac{5}{12} $ | Shade 5 parts |
| Grid of 16 squares | $ \frac{7}{16} $ | Shade 7 parts |
---
1. Count total parts in the shape.
2. Multiply the total number of parts by the fraction.
- E.g., $ \frac{3}{4} $ of 8 = $ 8 × \frac{3}{4} = 6 $
3. Shade that many parts.
---
Fractions represent part of a whole. When a shape is divided equally, each part is equal. So shading $ \frac{a}{b} $ means you’re taking $ a $ equal pieces out of $ b $.
---
If you can describe the exact shapes and fractions from your image (e.g., “a rectangle with 8 boxes, fraction $ \frac{5}{8} $”), I can give exact answers for each.
But if you'd like, you can list the shapes and fractions, and I’ll walk you through shading them step by step!
Let me walk you through how to solve a typical "Fractions of Shapes" worksheet like the one described.
---
🔷 General Instructions:
The task is to shade parts of shapes according to given fractions.
Each shape is divided into equal parts. You need to shade the correct number of parts based on the fraction.
---
📌 Step-by-Step Guide:
#### 1. Understand the Fraction
A fraction like $ \frac{a}{b} $ means:
- Divide the shape into b equal parts.
- Shade a of those parts.
Example: $ \frac{3}{4} $ → divide into 4 parts, shade 3.
---
✔ Example Problems (Based on Common Worksheet Layout):
#### 🔹 Shade $ \frac{1}{2} $ of each shape
- Rectangle divided into 4 squares:
→ Total parts = 4
→ $ \frac{1}{2} $ of 4 = 2
→ Shade 2 squares
- Circle divided into 8 slices:
→ $ \frac{1}{2} $ of 8 = 4
→ Shade 4 slices
- Vertical rectangle with 6 small rectangles:
→ $ \frac{1}{2} $ of 6 = 3
→ Shade 3 parts
---
#### 🔹 Shade $ \frac{3}{4} $ of each shape
- Rectangle with 4 boxes:
→ $ \frac{3}{4} $ → shade 3 out of 4
- Circle with 4 quarters:
→ Shade 3 quarters
- Grid of 12 squares (3×4):
→ $ \frac{3}{4} $ of 12 = $ 12 × \frac{3}{4} = 9 $
→ Shade 9 squares
---
#### 🔹 Shade $ \frac{1}{3} $ of each shape
- Rectangle with 6 parts:
→ $ \frac{1}{3} $ of 6 = 2 → shade 2 parts
- Circle with 6 slices:
→ $ \frac{1}{3} $ of 6 = 2 → shade 2 slices
- Grid of 9 squares (3×3):
→ $ \frac{1}{3} $ of 9 = 3 → shade 3 squares
---
#### 🔹 Now, Shade the fraction of each shape (given as fractions)
These are more advanced: you're told the fraction and must determine how many parts to shade.
| Shape | Fraction | How to Solve |
|------|---------|-------------|
| Rectangle with 10 parts | $ \frac{6}{10} $ | Shade 6 parts |
| Grid of 12 squares | $ \frac{8}{12} $ | Shade 8 squares |
| Circle divided into 8 | $ \frac{3}{8} $ | Shade 3 parts |
| Grid of 12 squares | $ \frac{1}{6} $ | $ \frac{1}{6} $ of 12 = 2 → shade 2 |
| Circle divided into 12 | $ \frac{5}{12} $ | Shade 5 parts |
| Grid of 16 squares | $ \frac{7}{16} $ | Shade 7 parts |
---
✔ Tips for Solving:
1. Count total parts in the shape.
2. Multiply the total number of parts by the fraction.
- E.g., $ \frac{3}{4} $ of 8 = $ 8 × \frac{3}{4} = 6 $
3. Shade that many parts.
---
🧠 Why This Works:
Fractions represent part of a whole. When a shape is divided equally, each part is equal. So shading $ \frac{a}{b} $ means you’re taking $ a $ equal pieces out of $ b $.
---
If you can describe the exact shapes and fractions from your image (e.g., “a rectangle with 8 boxes, fraction $ \frac{5}{8} $”), I can give exact answers for each.
But if you'd like, you can list the shapes and fractions, and I’ll walk you through shading them step by step!
Parent Tip: Review the logic above to help your child master the concept of basic fraction worksheet for 3rd grade.