Fractions Decimals and Percents Worksheets - Math Monks - Free Printable

Let's solve this step-by-step by converting fractions, decimals, and percents into each other as needed to complete the table.

We’ll go row by row and fill in missing values. Remember:

- To convert fraction → decimal: divide numerator by denominator.
- To convert decimal → percent: multiply by 100 and add %.
- To convert percent → decimal: divide by 100.
- To convert decimal → fraction: write as a fraction over power of 10, then simplify.
- To convert percent → fraction: write over 100, simplify.

---

Row 1:

- Decimal: 0.22
- Find Fraction and Percent

#### Fraction:
0.22 = 22/100 = 11/50

#### Percent:
0.22 × 100 = 22%

✔ So:
- Fraction: 11/50
- Percent: 22%

---

Row 2:

- Fraction: 8/17
- Find Decimal and Percent

#### Decimal:
8 ÷ 17 ≈ 0.4706 (round to 4 decimal places)

#### Percent:
0.4706 × 100 ≈ 47.06%

✔ So:
- Decimal: 0.4706
- Percent: 47.06%

---

Row 3:

- Fraction: 15/17
- Find Decimal and Percent

#### Decimal:
15 ÷ 17 ≈ 0.8824

#### Percent:
0.8824 × 100 ≈ 88.24%

✔ So:
- Decimal: 0.8824
- Percent: 88.24%

---

Row 4:

- Decimal: 0.39
- Find Fraction and Percent

#### Percent:
0.39 × 100 = 39%

#### Fraction:
0.39 = 39/100 → already simplified?
39 and 100 have no common factors → 39/100

✔ So:
- Fraction: 39/100
- Percent: 39%

---

Row 5:

- Percent: 98.9%
- Find Fraction and Decimal

#### Decimal:
98.9% = 98.9 ÷ 100 = 0.989

#### Fraction:
0.989 = 989/1000 → check if simplifiable

GCD of 989 and 1000:
989 is divisible by 23? 23×43 = 989 → yes!
But 1000 not divisible by 23 → so 989/1000 is simplest form.

✔ So:
- Decimal: 0.989
- Fraction: 989/1000

---

Row 6:

- Decimal: 0.81
- Find Fraction and Percent

#### Percent:
0.81 × 100 = 81%

#### Fraction:
0.81 = 81/100 → already simplified

✔ So:
- Fraction: 81/100
- Percent: 81%

---

Row 7:

- Percent: 30 1/5 %
- First convert mixed number to improper fraction or decimal

30 1/5 = 30 + 0.2 = 30.2%

#### Decimal:
30.2% = 30.2 ÷ 100 = 0.302

#### Fraction:
0.302 = 302/1000 = simplify
Divide numerator and denominator by 2: 151/500

So: 151/500

✔ So:
- Decimal: 0.302
- Fraction: 151/500

---

Row 8:

- Fraction: 3/11
- Find Decimal and Percent

#### Decimal:
3 ÷ 11 = 0.2727... → repeating: 0.\overline{27}

≈ 0.2727 (rounded to 4 decimals)

#### Percent:
0.2727 × 100 ≈ 27.27%

✔ So:
- Decimal: 0.2727
- Percent: 27.27%

---

Row 9:

- Decimal: 0.293
- Find Fraction and Percent

#### Percent:
0.293 × 100 = 29.3%

#### Fraction:
0.293 = 293/1000 → check GCD of 293 and 1000
293 is prime? Yes, so it's simplified.

✔ So:
- Fraction: 293/1000
- Percent: 29.3%

---

Row 10:

- Percent: 38.9%
- Find Fraction and Decimal

#### Decimal:
38.9% = 38.9 ÷ 100 = 0.389

#### Fraction:
0.389 = 389/1000 → check if reducible
389 is prime → so 389/1000

✔ So:
- Decimal: 0.389
- Fraction: 389/1000

---

Row 11:

- Fraction: 6/7
- Find Decimal and Percent

#### Decimal:
6 ÷ 7 ≈ 0.8571 (repeating: 0.\overline{857142})

≈ 0.8571

#### Percent:
0.8571 × 100 ≈ 85.71%

✔ So:
- Decimal: 0.8571
- Percent: 85.71%

---

Row 12:

- Decimal: 0.123
- Find Fraction and Percent

#### Percent:
0.123 × 100 = 12.3%

#### Fraction:
0.123 = 123/1000 → simplify?

Check GCD of 123 and 1000:
123 = 3×41, 1000 = 2³×5³ → no common factors → 123/1000

✔ So:
- Fraction: 123/1000
- Percent: 12.3%

---

Row 13:

- Percent: 0.08%
- Find Fraction and Decimal

#### Decimal:
0.08% = 0.08 ÷ 100 = 0.0008

#### Fraction:
0.0008 = 8/10000 = 1/1250

✔ So:
- Decimal: 0.0008
- Fraction: 1/1250

---

Row 14:

- Decimal: 0.008
- Find Fraction and Percent

#### Percent:
0.008 × 100 = 0.8%

#### Fraction:
0.008 = 8/1000 = 1/125

✔ So:
- Fraction: 1/125
- Percent: 0.8%

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## ✔ Final Completed Table:

| Fractions | Decimals | Percent |
|------------------|------------|-------------|
| 11/50 | 0.22 | 22% |
| 8/17 | 0.4706 | 47.06% |
| 15/17 | 0.8824 | 88.24% |
| 39/100 | 0.39 | 39% |
| 989/1000 | 0.989 | 98.9% |
| 81/100 | 0.81 | 81% |
| 151/500 | 0.302 | 30 1/5 % |
| 3/11 | 0.2727 | 27.27% |
| 293/1000 | 0.293 | 29.3% |
| 389/1000 | 0.389 | 38.9% |
| 6/7 | 0.8571 | 85.71% |
| 123/1000 | 0.123 | 12.3% |
| 1/1250 | 0.0008 | 0.08% |
| 1/125 | 0.008 | 0.8% |

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✔ All entries are now filled in with accurate conversions.

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