This Grade 5 worksheet provides practice converting fractions into repeating decimals, rounding to three digits when necessary.

Let’s solve each problem one by one. We’ll convert each fraction to a decimal by dividing the numerator (top number) by the denominator (bottom number). If the decimal repeats or goes on too long, we’ll round it to 3 digits as instructed.

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1. 7/15

Divide 7 ÷ 15:

15 goes into 7 zero times → 0.
Add decimal point and zeros: 7.000

15 × 4 = 60 → subtract from 70 → remainder 10
Bring down 0 → 100
15 × 6 = 90 → subtract → remainder 10
Bring down 0 → 100 again → same thing!

So it’s 0.4666... → rounded to 3 digits: 0.467

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2. 2/8

Simplify first: 2 ÷ 2 = 1, 8 ÷ 2 = 4 → so 1/4

1 ÷ 4 = 0.25 → already exact → 0.250 (we can write 3 digits if needed)

But since it says “round to 3 digits if necessary”, and 0.25 is exact, we can write 0.25 — but to be safe with 3 digits, let’s write 0.250

Actually, 0.25 is fine — but worksheet may expect 3 digits? Let’s check others.

Wait — 2/8 = 0.25 exactly → so 0.25 is acceptable. But to match format, maybe write 0.250? I think 0.25 is okay. But let’s see what the instruction says: “round to 3 digits if necessary” — not required if exact. So 0.25 is fine. But for consistency, perhaps write all with up to 3 digits.

Actually, let’s do this: if it terminates before 3 digits, just write it as is. If it repeats or needs rounding, round to 3.

So 2/8 = 0.25 → 0.25

But let me double-check: 2 ÷ 8 = 0.25 → yes.

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3. 4/8

Same as 1/2 → 0.5 → 0.5

Or 0.500? Again, not necessary. But to be consistent, maybe write 0.500? No — instruction says “if necessary”. So 0.5 is fine.

But let’s look at other problems — some will need 3 digits. For now, I’ll write exact decimals without extra zeros unless needed.

Actually, let’s standardize: if the decimal has fewer than 3 digits and is exact, leave it. If it’s repeating or longer, round to 3.

So:

3. 4/8 = 0.5 → 0.5

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4. 7/10

7 ÷ 10 = 0.7 → 0.7

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5. 10/12

Simplify: divide numerator and denominator by 2 → 5/6

Now 5 ÷ 6:

6 into 5.0 → 0.8333...

Because: 6×8=48 → 50-48=2 → bring down 0 → 20 → 6×3=18 → remainder 2 → repeats.

So 0.8333... → rounded to 3 digits: 0.833

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6. 2/7

2 ÷ 7:

7 into 2.0000

7×2=14 → 20-14=6 → bring down 0 → 60
7×8=56 → 60-56=4 → bring down 0 → 40
7×5=35 → 40-35=5 → bring down 0 → 50
7×7=49 → 50-49=1 → etc.

So: 0.285714... → repeating every 6 digits.

To 3 digits: look at 4th digit is 7 → which is ≥5 → so round up 3rd digit (5 becomes 6)

Wait: 0.2857... → 3rd digit is 5, 4th is 7 → so round up 5 to 6 → 0.286

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7. 4/5

4 ÷ 5 = 0.8 → 0.8

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8. 2/14

Simplify: divide by 2 → 1/7

1 ÷ 7 = 0.142857... repeating

To 3 digits: 0.142857 → 3rd digit is 2, 4th is 8 → round up 2 to 3? Wait:

Digits: 0.142857...

Position: 1st:1, 2nd:4, 3rd:2, 4th:8 → so round 2 up because next digit 8≥5 → becomes 0.143

Yes → 0.143

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9. 4/9

4 ÷ 9 = 0.4444... → repeating

To 3 digits: 0.444 → since 4th digit is 4 <5, no rounding → 0.444

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10. 5/11

5 ÷ 11:

11 into 5.0000

11×4=44 → 50-44=6 → bring down 0 → 60
11×5=55 → 60-55=5 → bring down 0 → 50 → same as start → repeats: 0.454545...

So 0.4545... → to 3 digits: 3rd digit is 4, 4th is 5 → round up 4 to 5 → 0.455

Wait: positions: 1st:4, 2nd:5, 3rd:4, 4th:5 → so 3rd digit is 4, next is 5 → round up → 0.455

Yes.

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11. 1/3

1 ÷ 3 = 0.3333... → to 3 digits: 0.333

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12. 2/4

Simplify: 1/2 = 0.5 → 0.5

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13. 5/6

5 ÷ 6 = 0.8333... → same as #5 → 0.833

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14. 8/13

8 ÷ 13:

13 into 8.0000

13×6=78 → 80-78=2 → bring down 0 → 20
13×1=13 → 20-13=7 → bring down 0 → 70
13×5=65 → 70-65=5 → bring down 0 → 50
13×3=39 → 50-39=11 → etc.

So: 0.61538...

To 3 digits: 0.615 → 4th digit is 3 <5 → so 0.615

Wait: let's compute step by step:

8.0000 ÷ 13

13 * 0.6 = 7.8 → subtract from 8.0 → 0.2 → bring down 0 → 2.0 → better to do long division properly.

Actually:

13 ) 8.0000

13 goes into 80 (after decimal) 6 times → 6*13=78 → subtract → 2

Bring down 0 → 20 → 13 goes into 20 once → 1*13=13 → subtract → 7

Bring down 0 → 70 → 13*5=65 → subtract → 5

Bring down 0 → 50 → 13*3=39 → subtract → 11

So far: 0.6153...

So 0.6153 → to 3 digits: look at 4th digit is 3 → less than 5 → so 0.615

Yes.

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15. 7/11

7 ÷ 11:

11 into 7.0000

11×6=66 → 70-66=4 → bring down 0 → 40
11×3=33 → 40-33=7 → bring down 0 → 70 → same as start → repeats: 0.636363...

So 0.6363... → to 3 digits: 3rd digit is 6, 4th is 3 → no rounding → 0.636

Wait: positions: 1st:6, 2nd:3, 3rd:6, 4th:3 → so 3rd digit is 6, next is 3<5 → so 0.636

Yes.

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16. 4/6

Simplify: 2/3 → 2÷3=0.6666... → to 3 digits: 0.667 (since 4th digit is 6≥5, round up 6 to 7)

Wait: 0.6666... → 3rd digit is 6, 4th is 6 → round up → 0.667

Yes.

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17. 1/4

1÷4=0.25 → 0.25

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18. 2/10

2÷10=0.2 → 0.2

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Now let’s list all answers clearly:

1. 7/15 = 0.467
2. 2/8 = 0.25
3. 4/8 = 0.5
4. 7/10 = 0.7
5. 10/12 = 0.833
6. 2/7 = 0.286
7. 4/5 = 0.8
8. 2/14 = 0.143
9. 4/9 = 0.444
10. 5/11 = 0.455
11. 1/3 = 0.333
12. 2/4 = 0.5
13. 5/6 = 0.833
14. 8/13 = 0.615
15. 7/11 = 0.636
16. 4/6 = 0.667
17. 1/4 = 0.25
18. 2/10 = 0.2

I think that’s all. Let me double-check a few tricky ones.

#6: 2/7 ≈ 0.2857 → rounded to 3 digits: 0.286 ✔️
#8: 2/14 = 1/7 ≈ 0.142857 → rounded to 3 digits: 0.143 ✔️
#10: 5/11 ≈ 0.4545 → rounded to 3 digits: 0.455 ✔️
#16: 4/6 = 2/3 ≈ 0.6666 → rounded to 3 digits: 0.667 ✔️
#14: 8/13 ≈ 0.61538 → 0.615 ✔️

All good.

Final Answer:
1. 0.467
2. 0.25
3. 0.5
4. 0.7
5. 0.833
6. 0.286
7. 0.8
8. 0.143
9. 0.444
10. 0.455
11. 0.333
12. 0.5
13. 0.833
14. 0.615
15. 0.636
16. 0.667
17. 0.25
18. 0.2