Math worksheet titled "Converting Fractions, Decimals, and Percents" featuring a table with numbered problems for practice.

Let's solve each row by converting fractions to decimals, decimals to percents, and percents to fractions or decimals as needed. We'll fill in the missing values step by step.

---

🔁 Conversion Rules:

- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100 and add % sign.
- Percent → Decimal: Divide by 100.
- Percent → Fraction: Write over 100 and simplify.
- Decimal → Fraction: Write as a fraction over power of 10, then simplify.

---

Now let's go row by row:

---

#### 1. Fraction: 3/10
- Decimal: $ \frac{3}{10} = 0.3 $
- Percent: $ 0.3 \times 100 = 30\% $

✔ Answer:
- Decimal: 0.3
- Percent: 30%

---

#### 2. Decimal: 0.35
- Fraction: $ 0.35 = \frac{35}{100} = \frac{7}{20} $ (simplified)
- Percent: $ 0.35 \times 100 = 35\% $

✔ Answer:
- Fraction: 7/20
- Percent: 35%

---

#### 3. Percent: 35.5%
- Decimal: $ 35.5\% = \frac{35.5}{100} = 0.355 $
- Fraction: $ 0.355 = \frac{355}{1000} = \frac{71}{200} $ (simplify by dividing numerator and denominator by 5)

✔ Answer:
- Decimal: 0.355
- Fraction: 71/200

---

#### 4. Fraction: 2/5
- Decimal: $ \frac{2}{5} = 0.4 $
- Percent: $ 0.4 \times 100 = 40\% $

✔ Answer:
- Decimal: 0.4
- Percent: 40%

---

#### 5. Decimal: 0.78
- Fraction: $ 0.78 = \frac{78}{100} = \frac{39}{50} $
- Percent: $ 0.78 \times 100 = 78\% $

✔ Answer:
- Fraction: 39/50
- Percent: 78%

---

#### 6. Percent: 76.47%
- Decimal: $ 76.47\% = 0.7647 $
- Fraction: $ 0.7647 = \frac{7647}{10000} $ — this doesn't simplify easily, so leave as is or approximate.

But we can check if it's close to a common fraction. However, since it's given precisely, we’ll keep it as:
- Fraction: $ \frac{7647}{10000} $ (already simplified? Let’s check GCD: 7647 and 10000 — likely coprime)

✔ Answer:
- Decimal: 0.7647
- Fraction: 7647/10000

---

#### 7. Decimal: 0.004
- Percent: $ 0.004 \times 100 = 0.4\% $
- Fraction: $ 0.004 = \frac{4}{1000} = \frac{1}{250} $

✔ Answer:
- Percent: 0.4%
- Fraction: 1/250

---

#### 8. Percent: 9.31%
- Decimal: $ 9.31\% = 0.0931 $
- Fraction: $ 0.0931 = \frac{931}{10000} $ — check if reducible.

GCD of 931 and 10000: 931 ÷ 7 = 133, 133 ÷ 7 = 19 → 931 = 7×7×19 = 49×19

10000 not divisible by 7 or 19 → So $ \frac{931}{10000} $ is simplified.

✔ Answer:
- Decimal: 0.0931
- Fraction: 931/10000

---

#### 9. Fraction: 20/27
- Decimal: $ \frac{20}{27} \approx 0.7407 $ (using division: 20 ÷ 27 ≈ 0.74074...)
- Percent: $ 0.7407 \times 100 \approx 74.07\% $

✔ Answer:
- Decimal: ≈ 0.7407
- Percent: ≈ 74.07%

---

#### 10. Percent: 39.35%
- Decimal: $ 39.35\% = 0.3935 $
- Fraction: $ 0.3935 = \frac{3935}{10000} = \frac{787}{2000} $ (divide numerator and denominator by 5)

Check:
3935 ÷ 5 = 787
10000 ÷ 5 = 2000
787 is prime? Yes (not divisible by small numbers), so simplified.

✔ Answer:
- Decimal: 0.3935
- Fraction: 787/2000

---

#### 11. Fraction: 16/31
- Decimal: $ \frac{16}{31} \approx 0.5161 $ (16 ÷ 31 ≈ 0.516129...)
- Percent: $ 0.5161 \times 100 \approx 51.61\% $

✔ Answer:
- Decimal: ≈ 0.5161
- Percent: ≈ 51.61%

---

✔ Final Answer Table:

| No | Fraction | Decimal | Percent |
|----|--------------|-------------|-------------|
| 1 | 3/10 | 0.3 | 30% |
| 2 | 7/20 | 0.35 | 35% |
| 3 | 71/200 | 0.355 | 35.5% |
| 4 | 2/5 | 0.4 | 40% |
| 5 | 39/50 | 0.78 | 78% |
| 6 | 7647/10000 | 0.7647 | 76.47% |
| 7 | 1/250 | 0.004 | 0.4% |
| 8 | 931/10000 | 0.0931 | 9.31% |
| 9 | 20/27 | ≈0.7407 | ≈74.07% |
|10 | 787/2000 | 0.3935 | 39.35% |
|11 | 16/31 | ≈0.5161 | ≈51.61% |

---

📝 Notes:

- Fractions are simplified where possible.
- Decimals are rounded to 4 decimal places for clarity unless exact.
- Percents are either exact or rounded accordingly.

Let me know if you want the answers formatted for printing!