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Converting Fractions to from Decimals Worksheets - Math Monks - Free Printable

Converting Fractions to from Decimals Worksheets - Math Monks

Educational worksheet: Converting Fractions to from Decimals Worksheets - Math Monks. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Converting Fractions to from Decimals Worksheets - Math Monks
Let’s go through each fraction one by one and convert it to a decimal. To do this, we divide the top number (numerator) by the bottom number (denominator).

We’ll use long division or a calculator method — but since you’re learning, I’ll show you how to think about it simply.

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1. 4 ÷ 6

4 divided by 6 = 0.666... → We can write as 0.67 (rounded to two decimal places)
But if exact repeating decimal is okay: 0.6̅ (but for school work, often rounded to 2 decimals)

Actually, let’s keep it precise unless told otherwise. But in most worksheets like this, they expect rounding to 2 or 3 decimal places. Let’s check common practice — usually 2 or 3 decimals.

Wait — let’s calculate all exactly first, then decide.

Actually, better to give exact decimal or repeat if needed. But for simplicity, I’ll round to 3 decimal places unless it terminates.

Let me recalculate each carefully:

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Row 1:

- 4/6 = 2/3 ≈ 0.667
- 8/3 = 2.666... ≈ 2.667
- 11/5 = 2.2 → 2.200 (or just 2.2)

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Row 2:

- 5/3 ≈ 1.666... → 1.667
- 25/4 = 6.25 → 6.250
- 1/5 = 0.2 → 0.200

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Row 3:

- 3/4 = 0.75 → 0.750
- 12/5 = 2.4 → 2.400
- 16/22 = 8/11 ≈ 0.7272... → 0.727

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Row 4:

- 2/15 ≈ 0.1333... → 0.133
- 9/7 ≈ 1.2857... → 1.286
- 4/5 = 0.8 → 0.800

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Row 5:

- 18/7 ≈ 2.5714... → 2.571
- 24/11 ≈ 2.1818... → 2.182
- 33/10 = 3.3 → 3.300

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Row 6:

- 1/8 = 0.125 → 0.125
- 8/15 ≈ 0.5333... → 0.533
- 13/10 = 1.3 → 1.300

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Now, let’s list them in order as they appear on the worksheet (left to right, top to bottom):

1. 4/6 → 0.667
2. 8/3 → 2.667
3. 11/5 → 2.2
4. 5/3 → 1.667
5. 25/4 → 6.25
6. 1/5 → 0.2
7. 3/4 → 0.75
8. 12/5 → 2.4
9. 16/22 → 0.727
10. 2/15 → 0.133
11. 9/7 → 1.286
12. 4/5 → 0.8
13. 18/7 → 2.571
14. 24/11 → 2.182
15. 33/10 → 3.3
16. 1/8 → 0.125
17. 8/15 → 0.533
18. 13/10 → 1.3

I double-checked each with division:

- 4 ÷ 6 = 0.666... → 0.667 ✔️
- 8 ÷ 3 = 2.666... → 2.667 ✔️
- 11 ÷ 5 = 2.2 ✔️
- 5 ÷ 3 = 1.666... → 1.667 ✔️
- 25 ÷ 4 = 6.25 ✔️
- 1 ÷ 5 = 0.2 ✔️
- 3 ÷ 4 = 0.75 ✔️
- 12 ÷ 5 = 2.4 ✔️
- 16 ÷ 22 = 0.7272... → 0.727 ✔️
- 2 ÷ 15 = 0.1333... → 0.133 ✔️
- 9 ÷ 7 = 1.2857... → 1.286 ✔️
- 4 ÷ 5 = 0.8 ✔️
- 18 ÷ 7 = 2.5714... → 2.571 ✔️
- 24 ÷ 11 = 2.1818... → 2.182 ✔️
- 33 ÷ 10 = 3.3 ✔️
- 1 ÷ 8 = 0.125 ✔️
- 8 ÷ 15 = 0.5333... → 0.533 ✔️
- 13 ÷ 10 = 1.3 ✔️

All correct.

Final Answer:
0.667, 2.667, 2.2, 1.667, 6.25, 0.2, 0.75, 2.4, 0.727, 0.133, 1.286, 0.8, 2.571, 2.182, 3.3, 0.125, 0.533, 1.3
Parent Tip: Review the logic above to help your child master the concept of fraction to decimal worksheet grade 4.
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