Let's solve this step by step. The task is to
write a fraction in the box for each figure that shows what part is colored, and then
convert each fraction to a decimal in the challenge section.
We'll go through each numbered circle or grid and determine:
1.
Total number of equal parts
2.
Number of colored parts
3.
Fraction = Colored Parts / Total Parts
4.
Convert the fraction to a decimal
---
🔹 Step 1: Analyze Each Figure
####
1. Circle divided into 2 parts, 1 yellow
- Total parts: 2
- Colored: 1
- Fraction:
1/2
- Decimal:
0.5
####
2. Circle divided into 3 parts, 1 green
- Total: 3
- Colored: 1
- Fraction:
1/3
- Decimal:
≈0.333
####
3. Circle divided into 6 parts, 1 orange
- Total: 6
- Colored: 1
- Fraction:
1/6
- Decimal:
≈0.167
####
4. Circle divided into 4 parts, all blue
- Total: 4
- Colored: 4
- Fraction:
4/4 = 1
- Decimal:
1.0
####
5. Circle divided into 8 parts, 4 purple
- Total: 8
- Colored: 4
- Fraction:
4/8 = 1/2
- Decimal:
0.5
####
6. Circle divided into 10 parts, 3 orange
- Total: 10
- Colored: 3
- Fraction:
3/10
- Decimal:
0.3
####
7. Circle divided into 4 parts, 2 green
- Total: 4
- Colored: 2
- Fraction:
2/4 = 1/2
- Decimal:
0.5
####
8. Circle divided into 8 parts, 5 pink
- Total: 8
- Colored: 5
- Fraction:
5/8
- Decimal:
0.625
####
9. Full circle (solid purple)
- Total: 1 whole
- Colored: 1
- Fraction:
1/1 = 1
- Decimal:
1.0
####
10. Circle divided into 4 parts, 1 blue
- Total: 4
- Colored: 1
- Fraction:
1/4
- Decimal:
0.25
####
11. Circle divided into 10 parts, 7 gray
- Total: 10
- Colored: 7
- Fraction:
7/10
- Decimal:
0.7
####
12. Circle divided into 8 parts, 1 red
- Total: 8
- Colored: 1
- Fraction:
1/8
- Decimal:
0.125
####
13. Grid: 10x10 = 100 squares, 40 green
- Total: 100
- Colored: 40
- Fraction:
40/100 = 2/5
- Decimal:
0.4
####
14. Grid: 10x10 = 100 squares, 20 green
- Total: 100
- Colored: 20
- Fraction:
20/100 = 1/5
- Decimal:
0.2
####
15. Grid: 10x10 = 100 squares, 60 blue
- Total: 100
- Colored: 60
- Fraction:
60/100 = 3/5
- Decimal:
0.6
####
16. Grid: 10x10 = 100 squares, 80 blue
- Total: 100
- Colored: 80
- Fraction:
80/100 = 4/5
- Decimal:
0.8
---
✔ Final Answers:
####
Fractions (to write in boxes):
| # | Fraction |
|---|----------|
| 1 | 1/2 |
| 2 | 1/3 |
| 3 | 1/6 |
| 4 | 1 |
| 5 | 1/2 |
| 6 | 3/10 |
| 7 | 1/2 |
| 8 | 5/8 |
| 9 | 1 |
| 10 | 1/4 |
| 11 | 7/10 |
| 12 | 1/8 |
| 13 | 2/5 |
| 14 | 1/5 |
| 15 | 3/5 |
| 16 | 4/5 |
---
🔢 Challenge: Write each fraction as a decimal
| # | Decimal |
|---|--------|
| 1 | 0.5 |
| 2 | ≈0.333 |
| 3 | ≈0.167 |
| 4 | 1.0 |
| 5 | 0.5 |
| 6 | 0.3 |
| 7 | 0.5 |
| 8 | 0.625 |
| 9 | 1.0 |
| 10 | 0.25 |
| 11 | 0.7 |
| 12 | 0.125 |
| 13 | 0.4 |
| 14 | 0.2 |
| 15 | 0.6 |
| 16 | 0.8 |
---
📝 Summary:
You can now fill in the blanks:
In the boxes next to each figure:
Write the fractions above (e.g., 1/2, 1/3, etc.)
In the challenge section:
Write the decimals above (e.g., 0.5, 0.333, etc.)
> 💡 Tip: For repeating decimals like 1/3, you can write
0.3̅ or just
0.333 depending on instructions.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of fourth grade fractions.
