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Convert decimals to fractions worksheet with 36 practice problems.

Worksheet titled "Converting Decimals to Fractions 1" with instructions and 36 problems for converting decimals to fractions, including examples like 0.6, 0.34, and 1.8.

Worksheet titled "Converting Decimals to Fractions 1" with instructions and 36 problems for converting decimals to fractions, including examples like 0.6, 0.34, and 1.8.

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Show Answer Key & Explanations Step-by-step solution for: Converting Decimals to Fractions Worksheet
Let’s solve each problem step by step.

We are converting decimals to fractions. The rules say:
- Leave the fraction with a denominator that is a power of 10 (like 10, 100, 1000, etc.).
- Do NOT simplify the fraction.
- If the decimal is greater than 1, write it as a mixed number (whole number + fraction).

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How to convert:
- Count how many digits are after the decimal point.
- That tells you the denominator:
→ 1 digit? Denominator = 10
→ 2 digits? Denominator = 100
→ 3 digits? Denominator = 1000
→ and so on.
- Write the digits (without the decimal) as the numerator.
- If there’s a whole number part (like in 1.8), keep it separate and only turn the decimal part into a fraction.

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Let’s go one by one:

1) 0.6 → 6/10
2) 0.3 → 3/10
3) 0.1 → 1/10
4) 0.9 → 9/10
5) 0.8 → 8/10
6) 0.27 → 27/100
7) 0.58 → 58/100
8) 0.81 → 81/100
9) 0.43 → 43/100
10) 0.92 → 92/100
11) 0.78 → 78/100
12) 0.55 → 55/100

13) 0.34 → 34/100
14) 0.2 → 2/10
15) 0.81 → 81/100
16) 0.7 → 7/10
17) 0.325 → 325/1000
18) 0.289 → 289/1000
19) 0.452 → 452/1000
20) 0.013 → 13/1000
21) 0.67 → 67/100
22) 0.29 → 29/100
23) 0.316 → 316/1000
24) 0.527 → 527/1000

25) 1.8 → 1 and 8/10
26) 3.4 → 3 and 4/10
27) 2.63 → 2 and 63/100
28) 9.6 → 9 and 6/10
29) 4.39 → 4 and 39/100
30) 7.28 → 7 and 28/100
31) 0.375 → 375/1000
32) 6.41 → 6 and 41/100
33) 1.372 → 1 and 372/1000
34) 5.391 → 5 and 391/1000
35) 8.29 → 8 and 29/100
36) 11.83 → 11 and 83/100

All answers follow the rule: no simplifying, denominators are powers of 10, and mixed numbers for values >1.

Final Answer:
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
Parent Tip: Review the logic above to help your child master the concept of working with fractions to decimals worksheet.
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