Decimal conversion practice worksheet for converting metric measurements into mixed numbers.

Let's solve the worksheet step by step. The task is to write each decimal measurement as a mixed number (a whole number plus a fraction). We'll convert decimals into mixed numbers using the place value of the decimal.

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🔢 Key Concept:

To convert a decimal to a mixed number:

1. Separate the whole number part from the decimal part.
2. Write the decimal part as a fraction, based on its place value (tenths, hundredths, thousandths).
3. Simplify the fraction if possible.
4. Combine the whole number and the simplified fraction.

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Let’s go through each problem:

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1) 5.265 kg = 5 265/1000 kg

✔ Already given as an example.
We can simplify:
265/1000 → divide numerator and denominator by 5:
= 53/200
So: 5 53/200 kg

But since the question just asks to write as a mixed number, 5 265/1000 is acceptable unless simplification is required.

> ✔ Answer: 5 265/1000 kg (or simplified: 5 53/200 kg)

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2) 3.500 km

- Whole number: 3
- Decimal: 0.500 = 500/1000 = 1/2
→ So: 3 1/2 km

> ✔ Answer: 3 1/2 km

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3) 11.021 kg

- Whole: 11
- Decimal: 0.021 = 21/1000
→ 11 21/1000 kg

> ✔ Answer: 11 21/1000 kg

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4) 0.724 l

- No whole number
- 0.724 = 724/1000
Simplify: divide numerator and denominator by 4 → 181/250
→ 0 181/250 l or simply 181/250 l

But since it's a mixed number, we write: 0 181/250 l (though usually just written as a fraction).

Alternatively, just 181/250 l is fine, but if you must write as mixed number: 0 181/250 l

> ✔ Answer: 0 181/250 l

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5) 7.888 km

- Whole: 7
- Decimal: 0.888 = 888/1000 = 111/125 (divided by 8)
→ 7 111/125 km

> ✔ Answer: 7 111/125 km

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6) 21.002 kg

- Whole: 21
- Decimal: 0.002 = 2/1000 = 1/500
→ 21 1/500 kg

> ✔ Answer: 21 1/500 kg

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7) 9.643 kg

- Whole: 9
- Decimal: 0.643 = 643/1000 (can't simplify further)
→ 9 643/1000 kg

> ✔ Answer: 9 643/1000 kg

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8) 0.100 kg

- 0.100 = 100/1000 = 1/10
→ 0 1/10 kg or just 1/10 kg

> ✔ Answer: 0 1/10 kg

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9) 30.56 l

- Whole: 30
- Decimal: 0.56 = 56/100 = 14/25
→ 30 14/25 l

> ✔ Answer: 30 14/25 l

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10) 8.020 kg

- Whole: 8
- Decimal: 0.020 = 20/1000 = 1/50
→ 8 1/50 kg

> ✔ Answer: 8 1/50 kg

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11) 25.980 km

- Whole: 25
- Decimal: 0.980 = 980/1000 = 49/50
→ 25 49/50 km

> ✔ Answer: 25 49/50 km

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12) 4.150 kg

- Whole: 4
- Decimal: 0.150 = 150/1000 = 3/20
→ 4 3/20 kg

> ✔ Answer: 4 3/20 kg

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13) 6.057 kg

- Whole: 6
- Decimal: 0.057 = 57/1000 (cannot simplify)
→ 6 57/1000 kg

> ✔ Answer: 6 57/1000 kg

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14) 1.265 l

- Whole: 1
- Decimal: 0.265 = 265/1000 = 53/200
→ 1 53/200 l

> ✔ Answer: 1 53/200 l

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15) 17.55 m

- Whole: 17
- Decimal: 0.55 = 55/100 = 11/20
→ 17 11/20 m

> ✔ Answer: 17 11/20 m

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16) 9.27 kg

- Whole: 9
- Decimal: 0.27 = 27/100 (already simplified)
→ 9 27/100 kg

> ✔ Answer: 9 27/100 kg

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17) 2.761 kg

- Whole: 2
- Decimal: 0.761 = 761/1000 (no common factors)
→ 2 761/1000 kg

> ✔ Answer: 2 761/1000 kg

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18) 0.85 m

- Whole: 0
- Decimal: 0.85 = 85/100 = 17/20
→ 0 17/20 m or 17/20 m

> ✔ Answer: 0 17/20 m

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19) 25.900 l

- Whole: 25
- Decimal: 0.900 = 900/1000 = 9/10
→ 25 9/10 l

> ✔ Answer: 25 9/10 l

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20) 7.001 kg

- Whole: 7
- Decimal: 0.001 = 1/1000
→ 7 1/1000 kg

> ✔ Answer: 7 1/1000 kg

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21) 5.065 kg

- Whole: 5
- Decimal: 0.065 = 65/1000 = 13/200
→ 5 13/200 kg

> ✔ Answer: 5 13/200 kg

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22) 55.55 m

- Whole: 55
- Decimal: 0.55 = 55/100 = 11/20
→ 55 11/20 m

> ✔ Answer: 55 11/20 m

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## ✔ Final Answers:

| # | Answer |
|---|--------|
| 1 | 5 265/1000 kg (or 5 53/200 kg) |
| 2 | 3 1/2 km |
| 3 | 11 21/1000 kg |
| 4 | 0 181/250 l |
| 5 | 7 111/125 km |
| 6 | 21 1/500 kg |
| 7 | 9 643/1000 kg |
| 8 | 0 1/10 kg |
| 9 | 30 14/25 l |
|10 | 8 1/50 kg |
|11 | 25 49/50 km |
|12 | 4 3/20 kg |
|13 | 6 57/1000 kg |
|14 | 1 53/200 l |
|15 | 17 11/20 m |
|16 | 9 27/100 kg |
|17 | 2 761/1000 kg |
|18 | 0 17/20 m |
|19 | 25 9/10 l |
|20 | 7 1/1000 kg |
|21 | 5 13/200 kg |
|22 | 55 11/20 m |

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💡 Tip: Always reduce fractions to lowest terms when possible.

Let me know if you'd like this in a printable format or with steps for any specific problem!