Let's solve the problem step by step.
The task is to
convert fractions into decimals and percentages, and also
shade the corresponding figure (a 10-box grid) to represent each fraction.
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🔢 Step-by-step Conversion Rules:
-
Fraction → Decimal: Divide the numerator by the denominator.
-
Decimal → Percentage: Multiply the decimal by 100 and add the % sign.
-
Figure: Shade the number of boxes equal to the numerator (since the denominator is 10, it's a 10-box grid).
We are given:
| Fraction | Figure (10-box grid) | Decimal | Percentage |
|---------|------------------------|--------|------------|
| 3/10 | | 0.3 | 30% |
| 5/10 | | | |
| 7/10 | | | |
| 8/10 | | | |
| 1/10 | | | |
| 9/10 | | | |
| 6/10 | | | |
| 4/10 | | | |
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Now let’s fill in each row.
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✔ Row 1: 3/10
Already filled:
- Decimal: 0.3
- Percentage: 30%
- Figure: Shade 3 out of 10 boxes
✔ Correct.
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✔ Row 2: 5/10
-
Decimal: 5 ÷ 10 =
0.5
-
Percentage: 0.5 × 100 =
50%
-
Figure: Shade
5 boxes
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✔ Row 3: 7/10
-
Decimal: 7 ÷ 10 =
0.7
-
Percentage: 0.7 × 100 =
70%
-
Figure: Shade
7 boxes
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✔ Row 4: 8/10
-
Decimal: 8 ÷ 10 =
0.8
-
Percentage: 0.8 × 100 =
80%
-
Figure: Shade
8 boxes
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✔ Row 5: 1/10
-
Decimal: 1 ÷ 10 =
0.1
-
Percentage: 0.1 × 100 =
10%
-
Figure: Shade
1 box
---
✔ Row 6: 9/10
-
Decimal: 9 ÷ 10 =
0.9
-
Percentage: 0.9 × 100 =
90%
-
Figure: Shade
9 boxes
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✔ Row 7: 6/10
-
Decimal: 6 ÷ 10 =
0.6
-
Percentage: 0.6 × 100 =
60%
-
Figure: Shade
6 boxes
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✔ Row 8: 4/10
-
Decimal: 4 ÷ 10 =
0.4
-
Percentage: 0.4 × 100 =
40%
-
Figure: Shade
4 boxes
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🟩 Final Completed Table:
| Fraction | Figure (Shade boxes) | Decimal | Percentage |
|---------|----------------------|--------|------------|
| 3/10 | ☐☐☐☐☐☐☐☐☐☐ → shade 3 | 0.3 | 30% |
| 5/10 | ☐☐☐☐☐☐☐☐☐☐ → shade 5 | 0.5 | 50% |
| 7/10 | ☐☐☐☐☐☐☐☐☐☐ → shade 7 | 0.7 | 70% |
| 8/10 | ☐☐☐☐☐☐☐☐☐☐ → shade 8 | 0.8 | 80% |
| 1/10 | ☐☐☐☐☐☐☐☐☐☐ → shade 1 | 0.1 | 10% |
| 9/10 | ☐☐☐☐☐☐☐☐☐☐ → shade 9 | 0.9 | 90% |
| 6/10 | ☐☐☐☐☐☐☐☐☐☐ → shade 6 | 0.6 | 60% |
| 4/10 | ☐☐☐☐☐☐☐☐☐☐ → shade 4 | 0.4 | 40% |
> Note: The "Figure" column has 10 empty boxes per row — you would shade the appropriate number based on the numerator.
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✔ Summary:
All fractions with denominator 10 are easy to convert:
-
Decimal: Just move the decimal point one place left from the numerator (e.g., 7 → 0.7)
-
Percentage: Multiply decimal by 100 → e.g., 0.7 → 70%
This worksheet helps visualize how fractions, decimals, and percentages relate.
Let me know if you'd like a printable version or a visual representation!
Parent Tip: Review the logic above to help your child master the concept of convert fractions decimals and percents worksheet.
