Fractions Decimals Percents Worksheets - Free Printable

Explanation:
We need to fill in the missing values in the table where each row has one of these: fraction, decimal, or percent — and we must find the other two.

Let’s go row by row and convert carefully.

1. Row 1: Fraction = 3/5
- Decimal: 3 ÷ 5 = 0.6
- Percent: 0.6 × 100 = 60%

2. Row 2: Decimal = 0.64
- Fraction: 0.64 = 64/100 = simplify → divide numerator & denominator by 4 → 16/25
(64 ÷ 4 = 16, 100 ÷ 4 = 25) → 16/25
- Percent: 0.64 × 100 = 64%

3. Row 3: Percent = 55%
- Decimal: 55 ÷ 100 = 0.55
- Fraction: 55/100 = simplify → divide by 5 → 11/20 → 11/20

4. Row 4: Decimal = 0.16
- Fraction: 0.16 = 16/100 = simplify → divide by 4 → 4/25 → 4/25
- Percent: 0.16 × 100 = 16%

5. Row 5: Fraction = 17/100
- Decimal: 17 ÷ 100 = 0.17
- Percent: 0.17 × 100 = 17%

6. Row 6: Decimal = 0.35
- Fraction: 0.35 = 35/100 = simplify → divide by 5 → 7/20 → 7/20
- Percent: 0.35 × 100 = 35%

7. Row 7: Percent = 28%
- Decimal: 28 ÷ 100 = 0.28
- Fraction: 28/100 = simplify → divide by 4 → 7/25 → 7/25

8. Row 8: Percent = 62.5%
- Decimal: 62.5 ÷ 100 = 0.625
- Fraction: 62.5% = 62.5/100 = 625/1000 → simplify: divide numerator & denominator by 125 → 5/8
(625 ÷ 125 = 5, 1000 ÷ 125 = 8) → 5/8

9. Row 9: Decimal = 0.59
- Fraction: 0.59 = 59/100 (already simplified — 59 is prime) → 59/100
- Percent: 0.59 × 100 = 59%

10. Row 10: Fraction = 4/7
- Decimal: 4 ÷ 7 ≈ 0.5714 (but usually we keep 3 decimal places unless specified; let’s use 0.571 or exact repeating? Since others are decimals like 0.59, 0.44, likely round to 3 decimals.)
4 ÷ 7 = 0.571428… → rounded to 3 decimals = 0.571
- Percent: 0.571 × 100 = 57.1%
But if using exact: 4/7 = 57.142857...% → often written as 57.14% or 57.1%.
Looking at other rows (e.g., 0.824, 0.73), they use up to 3 decimals, so we’ll use 0.571 and 57.1%.
However, let’s double-check: maybe they expect exact fraction-to-decimal as is — but since 4/7 doesn’t terminate, it's okay to round. We'll use 0.571 and 57.1%.

Wait — but in the table, some decimals have 2 or 3 places. Let’s see: 0.64 (2), 0.16 (2), 0.35 (2), 0.59 (2), 0.44 (2), 0.824 (3), 0.73 (2). So 3 decimals only for 0.824. So perhaps for 4/7, they expect 0.571 (3 decimals) and 57.1% (1 decimal). That’s acceptable.

11. Row 11: Decimal = 0.44
- Fraction: 0.44 = 44/100 = simplify → divide by 4 → 11/25 → 11/25
- Percent: 0.44 × 100 = 44%

12. Row 12: Percent = 32%
- Decimal: 32 ÷ 100 = 0.32
- Fraction: 32/100 = simplify → divide by 4 → 8/25 → 8/25

13. Row 13: Fraction = 3/2
- Decimal: 3 ÷ 2 = 1.5
- Percent: 1.5 × 100 = 150%

14. Row 14: Decimal = 0.824
- Fraction: 0.824 = 824/1000 = simplify: divide numerator & denominator by 8 → 103/125
Check: 824 ÷ 8 = 103, 1000 ÷ 8 = 125 → yes, 103/125
- Percent: 0.824 × 100 = 82.4%

15. Row 15: Decimal = 0.73
- Fraction: 0.73 = 73/100 (73 is prime) → 73/100
- Percent: 0.73 × 100 = 73%

16. Row 16: Mixed number = 1¾
- Convert to improper fraction: 1¾ = (1×4 + 3)/4 = 7/4
- Decimal: 7 ÷ 4 = 1.75
- Percent: 1.75 × 100 = 175%

17. Row 17: Percent = 148%
- Decimal: 148 ÷ 100 = 1.48
- Fraction: 148/100 = simplify → divide by 4 → 37/25 → 37/25
(148 ÷ 4 = 37, 100 ÷ 4 = 25)

Now let’s list all filled rows clearly:

| FRACTION | DECIMAL | PERCENT |
|----------|---------|---------|
| 3/5 | 0.6 | 60% |
| 16/25 | 0.64 | 64% |
| 11/20 | 0.55 | 55% |
| 4/25 | 0.16 | 16% |
| 17/100 | 0.17 | 17% |
| 7/20 | 0.35 | 35% |
| 7/25 | 0.28 | 28% |
| 5/8 | 0.625 | 62.5% |
| 59/100 | 0.59 | 59% |
| 4/7 | 0.571 | 57.1% |
| 11/25 | 0.44 | 44% |
| 8/25 | 0.32 | 32% |
| 3/2 | 1.5 | 150% |
| 103/125 | 0.824 | 82.4% |
| 73/100 | 0.73 | 73% |
| 7/4 | 1.75 | 175% |
| 37/25 | 1.48 | 148% |

Double-check a few tricky ones:
- 62.5% → 62.5/100 = 625/1000 = 5/8 ✔️
- 148% → 148/100 = 37/25 = 1.48 ✔️
- 3/2 = 1.5 = 150% ✔️
- 0.824 = 824/1000 = 103/125 ✔️ (103×8=824, 125×8=1000)

All correct.

Final Answer:
FRACTION: 3/5, 16/25, 11/20, 4/25, 17/100, 7/20, 7/25, 5/8, 59/100, 4/7, 11/25, 8/25, 3/2, 103/125, 73/100, 7/4, 37/25
DECIMAL: 0.6, 0.64, 0.55, 0.16, 0.17, 0.35, 0.28, 0.625, 0.59, 0.571, 0.44, 0.32, 1.5, 0.824, 0.73, 1.75, 1.48
PERCENT: 60%, 64%, 55%, 16%, 17%, 35%, 28%, 62.5%, 59%, 57.1%, 44%, 32%, 150%, 82.4%, 73%, 175%, 148%