Math worksheet for converting visual representations of fractions, decimals, and percents.
A math worksheet titled "Fraction, Decimal & Percent (Visual)" with 11 problems, each showing a grid or bar model to determine the value written as a fraction, decimal, and percent. The example shows 56/100, 0.56, and 56%. The worksheet includes a section for answers and is from www.CommonCoreSheets.com.
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Step-by-step solution for: Fraction, Decimal & Percent (Visual) Worksheet Download
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Show Answer Key & Explanations
Step-by-step solution for: Fraction, Decimal & Percent (Visual) Worksheet Download
Let's solve each problem step by step based on the visual representations in the image. Each grid or bar represents a whole, and shaded portions represent fractions of that whole.
We'll convert each shaded portion into:
- Fraction (part over total)
- Decimal
- Percent
---
- Grid is 10×10 = 100 squares
- Shaded: 56 squares
- Fraction: $ \frac{56}{100} $
- Decimal: $ 0.56 $
- Percent: $ 56\% $
This confirms the format.
---
- Rectangle divided into 10 equal vertical bars
- 7 are shaded (pink)
- Total parts = 10, shaded = 7
Fraction: $ \frac{7}{10} $
Decimal: $ 0.7 $
Percent: $ 70\% $
---
- Rectangle divided into 10 vertical bars
- 4 are shaded (blue), others white
- So shaded = 4 out of 10
Fraction: $ \frac{4}{10} = \frac{2}{5} $
Decimal: $ 0.4 $
Percent: $ 40\% $
---
- Rectangle divided into 10 vertical bars
- 1 is shaded (purple)
Fraction: $ \frac{1}{10} $
Decimal: $ 0.1 $
Percent: $ 10\% $
---
- 10×10 grid = 100 squares
- Only 3 squares shaded (green)
Fraction: $ \frac{3}{100} $
Decimal: $ 0.03 $
Percent: $ 3\% $
---
- 10×10 grid = 100 squares
- Count shaded squares: Let’s count.
- Full rows: 7 full rows → 70
- Top row: 8 shaded
- So total = 70 + 8 = 78 shaded
Fraction: $ \frac{78}{100} = \frac{39}{50} $
Decimal: $ 0.78 $
Percent: $ 78\% $
---
- Rectangle divided into 5 horizontal bars
- 2 are shaded (yellow)
Fraction: $ \frac{2}{5} $
Decimal: $ 0.4 $
Percent: $ 40\% $
---
- Rectangle divided into 10 vertical bars
- 1 is shaded (orange)
Fraction: $ \frac{1}{10} $
Decimal: $ 0.1 $
Percent: $ 10\% $
---
- Rectangle divided into 10 horizontal bars
- 2 are shaded (blue)
Fraction: $ \frac{2}{10} = \frac{1}{5} $
Decimal: $ 0.2 $
Percent: $ 20\% $
---
- Rectangle divided into 10 horizontal bars
- 6 are shaded (blue)
Fraction: $ \frac{6}{10} = \frac{3}{5} $
Decimal: $ 0.6 $
Percent: $ 60\% $
---
- 10×10 grid = 100 squares
- Count shaded squares:
- Full rows: 9 full rows → 90
- Bottom row: 7 shaded
- Total = 90 + 7 = 97 shaded
Fraction: $ \frac{97}{100} $
Decimal: $ 0.97 $
Percent: $ 97\% $
---
- 10×10 grid = 100 squares
- Count shaded squares:
- All squares are shaded except a few?
- Actually, look carefully: it's a checkerboard-like pattern? No — it appears all squares are shaded with green, but wait — let’s recheck.
Wait — actually, the shading seems to be light green, and there are no unshaded squares?
But looking closely: It looks like all 100 squares are shaded.
So:
Fraction: $ \frac{100}{100} = 1 $
Decimal: $ 1.0 $
Percent: $ 100\% $
---
| # | Fraction | Decimal | Percent |
|---|----------------|---------|---------|
| 1 | $ \frac{7}{10} $ | 0.7 | 70% |
| 2 | $ \frac{4}{10} $ | 0.4 | 40% |
| 3 | $ \frac{1}{10} $ | 0.1 | 10% |
| 4 | $ \frac{3}{100} $| 0.03 | 3% |
| 5 | $ \frac{78}{100} $| 0.78 | 78% |
| 6 | $ \frac{2}{5} $ | 0.4 | 40% |
| 7 | $ \frac{1}{10} $ | 0.1 | 10% |
| 8 | $ \frac{2}{10} $ | 0.2 | 20% |
| 9 | $ \frac{6}{10} $ | 0.6 | 60% |
|10 | $ \frac{97}{100} $| 0.97 | 97% |
|11 | $ \frac{100}{100} $| 1.0 | 100% |
---
1. $ \frac{7}{10},\ 0.7,\ 70\% $
2. $ \frac{4}{10},\ 0.4,\ 40\% $
3. $ \frac{1}{10},\ 0.1,\ 10\% $
4. $ \frac{3}{100},\ 0.03,\ 3\% $
5. $ \frac{78}{100},\ 0.78,\ 78\% $
6. $ \frac{2}{5},\ 0.4,\ 40\% $
7. $ \frac{1}{10},\ 0.1,\ 10\% $
8. $ \frac{2}{10},\ 0.2,\ 20\% $
9. $ \frac{6}{10},\ 0.6,\ 60\% $
10. $ \frac{97}{100},\ 0.97,\ 97\% $
11. $ \frac{100}{100},\ 1.0,\ 100\% $
> Note: Fractions can be simplified where possible. For example:
> - $ \frac{4}{10} = \frac{2}{5} $
> - $ \frac{6}{10} = \frac{3}{5} $
> - $ \frac{2}{10} = \frac{1}{5} $
>
> But unless specified, either form is acceptable. However, simplest form is preferred.
---
✔ Final Answer (Simplified Form):
1. $ \frac{7}{10},\ 0.7,\ 70\% $
2. $ \frac{2}{5},\ 0.4,\ 40\% $
3. $ \frac{1}{10},\ 0.1,\ 10\% $
4. $ \frac{3}{100},\ 0.03,\ 3\% $
5. $ \frac{39}{50},\ 0.78,\ 78\% $
6. $ \frac{2}{5},\ 0.4,\ 40\% $
7. $ \frac{1}{10},\ 0.1,\ 10\% $
8. $ \frac{1}{5},\ 0.2,\ 20\% $
9. $ \frac{3}{5},\ 0.6,\ 60\% $
10. $ \frac{97}{100},\ 0.97,\ 97\% $
11. $ 1,\ 1.0,\ 100\% $
Let me know if you'd like this formatted as a printable answer key!
We'll convert each shaded portion into:
- Fraction (part over total)
- Decimal
- Percent
---
Example (Ex):
- Grid is 10×10 = 100 squares
- Shaded: 56 squares
- Fraction: $ \frac{56}{100} $
- Decimal: $ 0.56 $
- Percent: $ 56\% $
This confirms the format.
---
1)
- Rectangle divided into 10 equal vertical bars
- 7 are shaded (pink)
- Total parts = 10, shaded = 7
Fraction: $ \frac{7}{10} $
Decimal: $ 0.7 $
Percent: $ 70\% $
---
2)
- Rectangle divided into 10 vertical bars
- 4 are shaded (blue), others white
- So shaded = 4 out of 10
Fraction: $ \frac{4}{10} = \frac{2}{5} $
Decimal: $ 0.4 $
Percent: $ 40\% $
---
3)
- Rectangle divided into 10 vertical bars
- 1 is shaded (purple)
Fraction: $ \frac{1}{10} $
Decimal: $ 0.1 $
Percent: $ 10\% $
---
4)
- 10×10 grid = 100 squares
- Only 3 squares shaded (green)
Fraction: $ \frac{3}{100} $
Decimal: $ 0.03 $
Percent: $ 3\% $
---
5)
- 10×10 grid = 100 squares
- Count shaded squares: Let’s count.
- Full rows: 7 full rows → 70
- Top row: 8 shaded
- So total = 70 + 8 = 78 shaded
Fraction: $ \frac{78}{100} = \frac{39}{50} $
Decimal: $ 0.78 $
Percent: $ 78\% $
---
6)
- Rectangle divided into 5 horizontal bars
- 2 are shaded (yellow)
Fraction: $ \frac{2}{5} $
Decimal: $ 0.4 $
Percent: $ 40\% $
---
7)
- Rectangle divided into 10 vertical bars
- 1 is shaded (orange)
Fraction: $ \frac{1}{10} $
Decimal: $ 0.1 $
Percent: $ 10\% $
---
8)
- Rectangle divided into 10 horizontal bars
- 2 are shaded (blue)
Fraction: $ \frac{2}{10} = \frac{1}{5} $
Decimal: $ 0.2 $
Percent: $ 20\% $
---
9)
- Rectangle divided into 10 horizontal bars
- 6 are shaded (blue)
Fraction: $ \frac{6}{10} = \frac{3}{5} $
Decimal: $ 0.6 $
Percent: $ 60\% $
---
10)
- 10×10 grid = 100 squares
- Count shaded squares:
- Full rows: 9 full rows → 90
- Bottom row: 7 shaded
- Total = 90 + 7 = 97 shaded
Fraction: $ \frac{97}{100} $
Decimal: $ 0.97 $
Percent: $ 97\% $
---
11)
- 10×10 grid = 100 squares
- Count shaded squares:
- All squares are shaded except a few?
- Actually, look carefully: it's a checkerboard-like pattern? No — it appears all squares are shaded with green, but wait — let’s recheck.
Wait — actually, the shading seems to be light green, and there are no unshaded squares?
But looking closely: It looks like all 100 squares are shaded.
So:
Fraction: $ \frac{100}{100} = 1 $
Decimal: $ 1.0 $
Percent: $ 100\% $
---
✔ Final Answers:
| # | Fraction | Decimal | Percent |
|---|----------------|---------|---------|
| 1 | $ \frac{7}{10} $ | 0.7 | 70% |
| 2 | $ \frac{4}{10} $ | 0.4 | 40% |
| 3 | $ \frac{1}{10} $ | 0.1 | 10% |
| 4 | $ \frac{3}{100} $| 0.03 | 3% |
| 5 | $ \frac{78}{100} $| 0.78 | 78% |
| 6 | $ \frac{2}{5} $ | 0.4 | 40% |
| 7 | $ \frac{1}{10} $ | 0.1 | 10% |
| 8 | $ \frac{2}{10} $ | 0.2 | 20% |
| 9 | $ \frac{6}{10} $ | 0.6 | 60% |
|10 | $ \frac{97}{100} $| 0.97 | 97% |
|11 | $ \frac{100}{100} $| 1.0 | 100% |
---
Answer Key (for the blank lines):
1. $ \frac{7}{10},\ 0.7,\ 70\% $
2. $ \frac{4}{10},\ 0.4,\ 40\% $
3. $ \frac{1}{10},\ 0.1,\ 10\% $
4. $ \frac{3}{100},\ 0.03,\ 3\% $
5. $ \frac{78}{100},\ 0.78,\ 78\% $
6. $ \frac{2}{5},\ 0.4,\ 40\% $
7. $ \frac{1}{10},\ 0.1,\ 10\% $
8. $ \frac{2}{10},\ 0.2,\ 20\% $
9. $ \frac{6}{10},\ 0.6,\ 60\% $
10. $ \frac{97}{100},\ 0.97,\ 97\% $
11. $ \frac{100}{100},\ 1.0,\ 100\% $
> Note: Fractions can be simplified where possible. For example:
> - $ \frac{4}{10} = \frac{2}{5} $
> - $ \frac{6}{10} = \frac{3}{5} $
> - $ \frac{2}{10} = \frac{1}{5} $
>
> But unless specified, either form is acceptable. However, simplest form is preferred.
---
✔ Final Answer (Simplified Form):
1. $ \frac{7}{10},\ 0.7,\ 70\% $
2. $ \frac{2}{5},\ 0.4,\ 40\% $
3. $ \frac{1}{10},\ 0.1,\ 10\% $
4. $ \frac{3}{100},\ 0.03,\ 3\% $
5. $ \frac{39}{50},\ 0.78,\ 78\% $
6. $ \frac{2}{5},\ 0.4,\ 40\% $
7. $ \frac{1}{10},\ 0.1,\ 10\% $
8. $ \frac{1}{5},\ 0.2,\ 20\% $
9. $ \frac{3}{5},\ 0.6,\ 60\% $
10. $ \frac{97}{100},\ 0.97,\ 97\% $
11. $ 1,\ 1.0,\ 100\% $
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of fractions decimals percents worksheet.