Read and write decimal numbers as fractions - 4 - Master The ... - Free Printable

Let’s solve the table row by row, filling in the missing boxes based on the given information. The goal is to understand how decimals relate to fractions and expanded forms.

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Row 1: Given Decimal = 2.45

- Concrete: Visual shows 2 ones (purple), 4 tenths (green), 5 hundredths (yellow) → matches 2.45.
- Decimal (Expanded): Already given as `2 + 0.4 + 0.05`
- Fraction (Expanded): Already given as `2 + 4/10 + 5/100`
- In words: Already given: “Two ones, four tenths and five hundredths”

✔ Missing: Fractions column

We need to write 2.45 as a single fraction or mixed number.

Since 2.45 = 2 + 0.45, and 0.45 = 45/100, we can write:

> 2 45/100 — which can be simplified, but since the expanded form uses 100ths, we’ll keep it as is unless instructed otherwise.

But looking at other rows (like row 2 and 4), they use improper fractions or mixed numbers with denominator 100.

So for consistency, we’ll write:

> 2 45/100

*(Note: This simplifies to 2 9/20, but since the expanded form uses 100ths, keeping 100ths is appropriate here.)*

✔ Answer for Fractions (Row 1): `2 45/100`

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Row 2: Given Decimal = 4.62, Fraction = 4 62/100

- In words: “four ones, six tenths and two hundredths” → matches 4.62
- Decimal (Expanded): We need to break 4.62 into its place values.

> 4.62 = 4 + 0.6 + 0.02

✔ Answer for Decimal (Expanded) (Row 2): `4 + 0.6 + 0.02`

- Fraction (Expanded): We need to express 4 62/100 as an expanded sum of fractions.

62/100 = 60/100 + 2/100 = 6/10 + 2/100

So:

> 4 + 6/10 + 2/100

✔ Answer for Fraction (Expanded) (Row 2): `4 + 6/10 + 2/100`

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Row 3: Given Decimal (Expanded) = 7 + 0.3 + 0.08

- So, decimal = 7 + 0.3 + 0.08 = 7.38

✔ Answer for Decimal (Row 3): `7.38`

- Fraction (Expanded): Given as `7 + 3/10 + 8/100`

→ This matches 7.38

- Fractions: We need to write 7.38 as a mixed number.

7.38 = 7 + 38/100 → 7 38/100

✔ Answer for Fractions (Row 3): `7 38/100`

- In words: Already given: “Seven ones, three tenths and eight hundredths” → correct for 7.38

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Row 4: Given Decimal = 5.91, Fraction = 5 91/100

- Decimal (Expanded): Break 5.91 into place values.

> 5.91 = 5 + 0.9 + 0.01

✔ Answer for Decimal (Expanded) (Row 4): `5 + 0.9 + 0.01`

- Fraction (Expanded): Express 5 91/100 as expanded fractions.

91/100 = 90/100 + 1/100 = 9/10 + 1/100

So:

> 5 + 9/10 + 1/100

✔ Answer for Fraction (Expanded) (Row 4): `5 + 9/10 + 1/100`

- In words: Need to describe 5.91

> Five ones, nine tenths and one hundredth

✔ Answer for In words (Row 4): `Five ones, nine tenths and one hundredth`

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## ✔ Final Completed Table:

| Concrete | Decimal | Decimal (Expanded) | Fractions | Fraction (Expanded) | In words |
|----------|---------|------------------------|---------------|-----------------------------|---------------------------------------|
| (Image) | 2.45 | 2 + 0.4 + 0.05 | 2 45/100 | 2 + 4/10 + 5/100 | Two ones, four tenths and five hundredths |
| (Image) | 4.62 | 4 + 0.6 + 0.02 | 4 62/100 | 4 + 6/10 + 2/100 | four ones, six tenths and two hundredths |
| (Image) | 7.38| 7 + 0.3 + 0.08 | 7 38/100 | 7 + 3/10 + 8/100 | Seven ones, three tenths and eight hundredths |
| (Image) | 5.91 | 5 + 0.9 + 0.01 | 5 91/100 | 5 + 9/10 + 1/100 | Five ones, nine tenths and one hundredth |

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## 📌 Key Concept:
This exercise reinforces that decimals are just another way to write fractions — specifically, fractions with denominators that are powers of 10 (10, 100, 1000...). Each digit in a decimal corresponds to a fraction part:
- Tenths → /10
- Hundredths → /100
- etc.

Expanded form helps visualize this connection clearly.

Let me know if you’d like to simplify any fractions (e.g., 45/100 → 9/20) — though for this worksheet, keeping denominators as 100 maintains alignment with the concrete models and expanded forms shown.