Fractions model to decimals worksheet - Free Printable

Let's solve this step by step.

The worksheet is about converting fraction models (visual representations) into decimals, specifically focusing on tenths and hundredths.

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🔍 Understanding the Models:

- Problems 1–4: Each rectangle is divided into 10 equal vertical strips → represents tenths.
- So, each shaded strip = 0.1
- Total shaded parts / 10 = decimal

- Problems 5–8: Each square is divided into 100 small squares → represents hundredths.
- So, each small shaded square = 0.01
- Total shaded squares / 100 = decimal

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✔ Step-by-step Solutions:

#### 1.
- 3 out of 10 strips are shaded.
- $ \frac{3}{10} = 0.3 $
- ✔ Answer: 0.3

#### 2.
- 7 out of 10 strips are shaded.
- $ \frac{7}{10} = 0.7 $
- ✔ Answer: 0.7

#### 3.
- 6 out of 10 strips are shaded.
- $ \frac{6}{10} = 0.6 $
- ✔ Answer: 0.6

#### 4.
- All 10 strips are shaded.
- $ \frac{10}{10} = 1.0 $
- ✔ Answer: 1.0

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#### 5.
- The grid has 100 squares.
- Count shaded squares:
- Left side: 5 full columns (each 10 squares) → 5 × 10 = 50
- Plus 5 more in the next column → total = 55
- $ \frac{55}{100} = 0.55 $
- ✔ Answer: 0.55

#### 6.
- Full columns: 6 columns → 6 × 10 = 60
- Plus 5 more in the 7th column → total = 65
- $ \frac{65}{100} = 0.65 $
- ✔ Answer: 0.65

#### 7.
- Full columns: 4 columns → 4 × 10 = 40
- No extra squares → total = 40
- $ \frac{40}{100} = 0.40 $ or just 0.4
- ✔ Answer: 0.40 (or 0.4)

#### 8.
- Full columns: 7 columns → 7 × 10 = 70
- Plus 9 more in the 8th column → total = 79
- $ \frac{79}{100} = 0.79 $
- ✔ Answer: 0.79

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📝 Final Answers:

| Problem | Decimal |
|--------|--------|
| 1 | 0.3 |
| 2 | 0.7 |
| 3 | 0.6 |
| 4 | 1.0 |
| 5 | 0.55 |
| 6 | 0.65 |
| 7 | 0.40 |
| 8 | 0.79 |

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✔ Summary:

- For tenths (10 parts): count shaded parts ÷ 10 → decimal
- For hundredths (100 parts): count shaded squares ÷ 100 → decimal

This helps students visualize how fractions relate to decimals!

Let me know if you'd like a printable version or explanation for younger learners!