Fraction to Decimal Conversion Worksheet with Examples and Exercises.

Let’s solve each fraction-to-decimal problem step by step. Remember: to convert a fraction to a decimal, divide the top number (numerator) by the bottom number (denominator).

We’ll go one by one:

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1. 6 ÷ 7

6 ÷ 7 = 0.857142... → We can round to 3 or 4 decimal places if needed. Let’s use 4 decimals: 0.8571

But since this is for school, maybe they want exact or rounded? Looking at examples in worksheet — they used exact values like 0.375 and 0.45. So we should calculate as precisely as possible.

Actually, let’s do proper division:

6 ÷ 7 = 0.857142857… → repeating. But for homework, often 3–4 decimal places are fine. However, some of these will terminate nicely.

Wait — let’s check which ones terminate and which repeat.

Better approach: Do each division carefully.

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Let me list all problems and compute them accurately:

Row 1:
- 6/7 → 6 ÷ 7 = 0.857142... ≈ 0.857 (if rounding to 3 decimals)
But let’s see what the worksheet expects. In example, 3/8=0.375 (exact), 9/20=0.45 (exact). So perhaps only terminating decimals are expected? But 6/7 doesn’t terminate.

Hmm — actually, looking again, the worksheet includes fractions like 5/9, 3/11, etc., which are repeating. So students are expected to either write repeating decimals or round.

Since it’s elementary level, probably round to 3 or 4 decimal places.

I’ll use 4 decimal places unless it terminates earlier.

Let’s compute each:

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First Row:

1. 6/7 = 6 ÷ 7
7 into 6.0000 → 0.8571 (since 7×0.8571≈5.9997) → 0.8571

2. 5/9 = 5 ÷ 9
9 into 5.0000 → 0.5555... → 0.5556 (rounded to 4 decimals)

3. 2/5 = 2 ÷ 5 = 0.4 (exact)

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Second Row:

4. 6/10 = 6 ÷ 10 = 0.6

5. 7/16 = 7 ÷ 16
16 into 7.0000 → 0.4375 (because 16 × 0.4375 = 7) → 0.4375

6. 11/2 = 11 ÷ 2 = 5.5

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Third Row:

7. 5/10 = 5 ÷ 10 = 0.5

8. 3/11 = 3 ÷ 11
11 into 3.0000 → 0.2727... → 0.2727 (repeating, so 0.2727 to 4 decimals)

9. 1/10 = 1 ÷ 10 = 0.1

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Fourth Row:

10. 18/8 = 18 ÷ 8 = 2.25 → 2.25

11. 17/10 = 17 ÷ 10 = 1.7

12. 4/16 = 4 ÷ 16 = 0.25 → 0.25

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Fifth Row:

13. 9/15 = 9 ÷ 15 = 0.6 → 0.6

14. 16/6 = 16 ÷ 6 = 2.666... → 2.6667 (rounded to 4 decimals)

15. 7/9 = 7 ÷ 9 = 0.777... → 0.7778 (rounded to 4 decimals)

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Now, let’s double-check a few that might be tricky:

- 7/16: 16 × 0.4 = 6.4, 7 - 6.4 = 0.6; 0.6 / 16 = 0.0375 → total 0.4375 ✔️

- 18/8: 18 ÷ 8 = 9 ÷ 4 = 2.25 ✔️

- 16/6: simplify first? 16÷2=8, 6÷2=3 → 8/3 = 2.666... ✔️

- 9/15: divide numerator and denominator by 3 → 3/5 = 0.6 ✔️

All good.

Now, to present answers clearly in order as per worksheet layout:

Worksheet has 5 rows, 3 columns:

Row 1: 6/7, 5/9, 2/5
Row 2: 6/10, 7/16, 11/2
Row 3: 5/10, 3/11, 1/10
Row 4: 18/8, 17/10, 4/16
Row 5: 9/15, 16/6, 7/9

So final answers:

Row 1:
6/7 = 0.8571
5/9 = 0.5556
2/5 = 0.4

Row 2:
6/10 = 0.6
7/16 = 0.4375
11/2 = 5.5

Row 3:
5/10 = 0.5
3/11 = 0.2727
1/10 = 0.1

Row 4:
18/8 = 2.25
17/10 = 1.7
4/16 = 0.25

Row 5:
9/15 = 0.6
16/6 = 2.6667
7/9 = 0.7778

Note: For repeating decimals, I rounded to 4 decimal places. Some teachers may prefer bar notation, but since the examples didn't use it, rounding is acceptable here.

Final Answer:
6/7 = 0.8571
5/9 = 0.5556
2/5 = 0.4
6/10 = 0.6
7/16 = 0.4375
11/2 = 5.5
5/10 = 0.5
3/11 = 0.2727
1/10 = 0.1
18/8 = 2.25
17/10 = 1.7
4/16 = 0.25
9/15 = 0.6
16/6 = 2.6667
7/9 = 0.7778