Convert Fractions to Decimals using Long Division Worksheets ... - Free Printable

Explanation:
We need to convert each fraction to a decimal. To do that, divide the numerator (top number) by the denominator (bottom number). If the division doesn’t come out evenly, round to the nearest hundredth (two decimal places), as instructed.

Let’s go one by one:

1. 14/18
14 ÷ 18 = 0.777… → round to hundredths → 0.78

2. 9/11
9 ÷ 11 = 0.818181… → round to hundredths → 0.82

3. 2/3
2 ÷ 3 = 0.666… → round to hundredths → 0.67

4. 7/20
7 ÷ 20 = 0.35 → exact → 0.35

5. 3/4
3 ÷ 4 = 0.75 → exact → 0.75

6. 1/5
1 ÷ 5 = 0.2 → write as 0.20 (to show hundredths, though 0.2 is also correct — but since instruction says “round to hundredths if necessary”, 0.20 is fine; however, standard practice is to keep it as 0.2 unless asked for two decimals. But since others are shown with two decimals when needed, and 0.2 = 0.20, we’ll use 0.20 for consistency.)

Wait — let’s check the instruction again: *“Round to hundredths if necessary.”* That means only round when needed — not force two decimals always. So:
- 0.2 is already exact to tenths, and no rounding needed → we can write 0.2
But in many school worksheets, they expect two decimal places when rounding is mentioned — however, 0.2 is acceptable. Let’s verify common practice: For fractions like 1/5, answer is usually written as 0.2 (not 0.20) unless specified to show two places.

To be safe, I’ll follow exact value unless repeating or non-terminating — then round to hundredths.

So:
- 1/5 = 0.2 → 0.2
- Similarly, 3/10 = 0.3, etc.

Let’s continue carefully:

7. 3/6
Simplify first: 3/6 = 1/2 = 0.5 → 0.5

8. 6/13
6 ÷ 13 = 0.461538… → round to hundredths → look at thousandths digit: 1 < 5 → round down → 0.46

9. 16/17
16 ÷ 17 ≈ 0.941176… → thousandths digit = 1 → round down → 0.94

10. 1/3
1 ÷ 3 = 0.333… → round to hundredths → 0.33

11. 5/14
5 ÷ 14 ≈ 0.357142… → thousandths digit = 7 ≥ 5 → round up: 0.35 → 0.36 → 0.36

12. 5/18
5 ÷ 18 ≈ 0.277777… → thousandths digit = 7 → round up: 0.27 → 0.28 → 0.28

13. 3/10
3 ÷ 10 = 0.3 → 0.3

14. 12/20
Simplify: 12/20 = 3/5 = 0.6 → 0.6

Let me double-check each with calculator-style precision:

1. 14 ÷ 18 = 0.777... → 0.78 ✔
2. 9 ÷ 11 = 0.818181... → 0.82 ✔
3. 2 ÷ 3 = 0.666... → 0.67 ✔
4. 7 ÷ 20 = 0.35 ✔
5. 3 ÷ 4 = 0.75 ✔
6. 1 ÷ 5 = 0.2 ✔
7. 3 ÷ 6 = 0.5 ✔
8. 6 ÷ 13 = 0.4615 → 0.46 ✔
9. 16 ÷ 17 = 0.941176 → 0.94 ✔
10. 1 ÷ 3 = 0.333... → 0.33 ✔
11. 5 ÷ 14 = 0.35714 → 0.36 ✔
12. 5 ÷ 18 = 0.27777 → 0.28 ✔
13. 3 ÷ 10 = 0.3 ✔
14. 12 ÷ 20 = 0.6 ✔

All correct.

Final Answer:
0.78, 0.82, 0.67, 0.35, 0.75, 0.2, 0.5, 0.46, 0.94, 0.33, 0.36, 0.28, 0.3, 0.6