Converting Decimals to Fractions Worksheet - Free Printable

Sure! Let’s solve this worksheet step by step.

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📌 Instructions Recap:

- Convert each decimal to a fraction.
- The denominator must be a power of 10 (like 10, 100, 1000, etc.).
- Do NOT simplify the fractions.
- If the decimal is greater than 1, write it as a mixed number (whole number + fraction).

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## ✔ Step-by-step Solutions:

We’ll go row by row.

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Row 1:

1) 0.6 → 6 tenths → 6/10
2) 0.3 → 3 tenths → 3/10
3) 0.1 → 1 tenth → 1/10

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Row 2:

4) 0.9 → 9 tenths → 9/10
5) 0.8 → 8 tenths → 8/10
6) 0.27 → 27 hundredths → 27/100

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Row 3:

7) 0.58 → 58 hundredths → 58/100
8) 0.81 → 81 hundredths → 81/100
9) 0.43 → 43 hundredths → 43/100

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Row 4:

10) 0.92 → 92 hundredths → 92/100
11) 0.78 → 78 hundredths → 78/100
12) 0.55 → 55 hundredths → 55/100

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Row 5:

13) 0.34 → 34 hundredths → 34/100
14) 0.2 → 2 tenths → 2/10
15) 0.81 → 81 hundredths → 81/100

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Row 6:

16) 0.7 → 7 tenths → 7/10
17) 0.325 → 325 thousandths → 325/1000
18) 0.289 → 289 thousandths → 289/1000

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Row 7:

19) 0.452 → 452 thousandths → 452/1000
20) 0.013 → 13 thousandths → 13/1000
21) 0.67 → 67 hundredths → 67/100

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Row 8:

22) 0.29 → 29 hundredths → 29/100
23) 0.316 → 316 thousandths → 316/1000
24) 0.527 → 527 thousandths → 527/1000

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Row 9 (Decimals > 1 → Mixed Numbers):

25) 1.8 → 1 and 8 tenths → 1 8/10
26) 3.4 → 3 and 4 tenths → 3 4/10
27) 2.63 → 2 and 63 hundredths → 2 63/100

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Row 10:

28) 9.6 → 9 and 6 tenths → 9 6/10
29) 4.39 → 4 and 39 hundredths → 4 39/100
30) 7.28 → 7 and 28 hundredths → 7 28/100

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Row 11:

31) 0.375 → 375 thousandths → 375/1000
32) 6.41 → 6 and 41 hundredths → 6 41/100
33) 1.372 → 1 and 372 thousandths → 1 372/1000

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Row 12:

34) 5.391 → 5 and 391 thousandths → 5 391/1000
35) 8.29 → 8 and 29 hundredths → 8 29/100
36) 11.83 → 11 and 83 hundredths → 11 83/100

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## ✔ Final Answers (All 36):

1) 6/10
2) 3/10
3) 1/10
4) 9/10
5) 8/10
6) 27/100
7) 58/100
8) 81/100
9) 43/100
10) 92/100
11) 78/100
12) 55/100
13) 34/100
14) 2/10
15) 81/100
16) 7/10
17) 325/1000
18) 289/1000
19) 452/1000
20) 13/1000
21) 67/100
22) 29/100
23) 316/1000
24) 527/1000
25) 1 8/10
26) 3 4/10
27) 2 63/100
28) 9 6/10
29) 4 39/100
30) 7 28/100
31) 375/1000
32) 6 41/100
33) 1 372/1000
34) 5 391/1000
35) 8 29/100
36) 11 83/100

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## 🧠 Explanation Summary:

- For decimals less than 1: Count the digits after the decimal point.
- 1 digit → denominator = 10
- 2 digits → denominator = 100
- 3 digits → denominator = 1000
- Write the decimal number (without the decimal point) as the numerator.

- For decimals greater than 1: Separate the whole number part from the decimal part.
- Whole number stays as-is.
- Decimal part converts as above → becomes the fractional part.

- No simplifying — so even if you see 6/10 or 2/10, leave them as-is!

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Let me know if you want a printable version or need help with simplifying later! 😊