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Worksheet for converting fractions to decimals with examples and practice problems.

A worksheet titled "Fractions to Decimals" with examples and exercises for converting fractions to decimal form, including two example problems and multiple fraction conversion questions.

A worksheet titled "Fractions to Decimals" with examples and exercises for converting fractions to decimal form, including two example problems and multiple fraction conversion questions.

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Show Answer Key & Explanations Step-by-step solution for: Fractions to Decimals | Decimals worksheets, Fractions to decimals ...
Let’s solve each fraction by dividing the top number (numerator) by the bottom number (denominator). We’ll do this step by step for each one.

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First row:

1. 4 ÷ 11
4 divided by 11 = 0.3636... → rounds to 0.364 (if rounding to 3 decimal places)
But since the examples show exact decimals, we’ll write as many digits as needed or repeat if it repeats.
Actually, 4 ÷ 11 = 0.363636... → we can write 0.36̅ but for school worksheets, often they want 3–4 decimal places. Let’s use 4 decimal places unless it terminates.

0.3636

2. 8 ÷ 15
8 ÷ 15 = 0.5333... → 0.5333

3. 12 ÷ 37
12 ÷ 37 ≈ 0.324324... → 0.3243

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Second row:

4. 4 ÷ 7
4 ÷ 7 ≈ 0.571428... → 0.5714

5. 7 ÷ 19
7 ÷ 19 ≈ 0.368421... → 0.3684

6. 5 ÷ 8
5 ÷ 8 = 0.625 → 0.625 (exact)

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Third row:

7. 2 ÷ 7
2 ÷ 7 ≈ 0.285714... → 0.2857

8. 5 ÷ 11
5 ÷ 11 ≈ 0.454545... → 0.4545

9. 8 ÷ 9
8 ÷ 9 ≈ 0.8888... → 0.8889 (rounded to 4 decimal places)

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Fourth row:

10. 3 ÷ 15
3 ÷ 15 = 0.2 → 0.2

11. 5 ÷ 13
5 ÷ 13 ≈ 0.384615... → 0.3846

12. 4 ÷ 9
4 ÷ 9 ≈ 0.4444... → 0.4444

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Fifth row:

13. 11 ÷ 15
11 ÷ 15 ≈ 0.7333... → 0.7333

14. 9 ÷ 11
9 ÷ 11 ≈ 0.818181... → 0.8182 (rounded to 4 decimal places)

15. 12 ÷ 13
12 ÷ 13 ≈ 0.923076... → 0.9231

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Now let’s list all answers clearly:

- 4/11 = 0.3636
- 8/15 = 0.5333
- 12/37 = 0.3243
- 4/7 = 0.5714
- 7/19 = 0.3684
- 5/8 = 0.625
- 2/7 = 0.2857
- 5/11 = 0.4545
- 8/9 = 0.8889
- 3/15 = 0.2
- 5/13 = 0.3846
- 4/9 = 0.4444
- 11/15 = 0.7333
- 9/11 = 0.8182
- 12/13 = 0.9231

Final Answer:
4/11 = 0.3636
8/15 = 0.5333
12/37 = 0.3243
4/7 = 0.5714
7/19 = 0.3684
5/8 = 0.625
2/7 = 0.2857
5/11 = 0.4545
8/9 = 0.8889
3/15 = 0.2
5/13 = 0.3846
4/9 = 0.4444
11/15 = 0.7333
9/11 = 0.8182
12/13 = 0.9231
Parent Tip: Review the logic above to help your child master the concept of fraction decimal worksheet.
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