Converting Fractions, Decimals, and Percents (B) Worksheet | PDF ... - Free Printable

Let’s go step by step to fill in all the missing gaps. We’ll convert between decimals, percentages, and fractions as needed.

---

First Table: Decimal ↔ Percentage

We know:
- To turn a decimal into a percent → multiply by 100 (move decimal point two places right)
- To turn a percent into a decimal → divide by 100 (move decimal point two places left)

Given:

Decimal: 0.1 → ?%
→ 0.1 × 100 = 10%

Decimal: 0.2 → ?%
→ 0.2 × 100 = 20%

Decimal: 0.61 → ?%
→ 0.61 × 100 = 61%

Percentage: 90% → ? decimal
→ 90 ÷ 100 = 0.9

Percentage: 41% → ? decimal
→ 41 ÷ 100 = 0.41

Percentage: 92% → ? decimal
→ 92 ÷ 100 = 0.92

Percentage: 86% → ? decimal
→ 86 ÷ 100 = 0.86

✔ First table filled:

| Decimal | 0.1 | 0.2 | 0.61 | 0.9 | 0.41 | 0.92 | 0.86 |
|---------|-----|-----|------|-----|------|------|------|
| Percent | 10% | 20% | 61% | 90% | 41% | 92% | 86% |

---

Second Table: Percentage ↔ Decimal

Given:

Percentage: ? → Decimal 0.03
→ 0.03 × 100 = 3%

Percentage: 7% → ? decimal
→ 7 ÷ 100 = 0.07

Percentage: ? → Decimal 0.06
→ 0.06 × 100 = 6%

Percentage: ? → Decimal 0.09
→ 0.09 × 100 = 9%

Percentage: 11% → ? decimal
→ 11 ÷ 100 = 0.11

Percentage: ? → Decimal 0.02
→ 0.02 × 100 = 2%

Percentage: 8% → ? decimal
→ 8 ÷ 100 = 0.08

✔ Second table filled:

| Percent | 3% | 7% | 6% | 9% | 11% | 2% | 8% |
|---------|-----|-----|-----|-----|-----|-----|-----|
| Decimal | 0.03| 0.07| 0.06| 0.09| 0.11| 0.02| 0.08|

---

Third Table: Fraction ↔ Percentage

We know:
- To turn a fraction into a percent → divide numerator by denominator, then multiply by 100
- Or if denominator is 100, just take the numerator as percent

Given:

Fraction: 1/2 → ?%
→ 1 ÷ 2 = 0.5 → 0.5 × 100 = 50%

Fraction: 1/4 → ?%
→ 1 ÷ 4 = 0.25 → 0.25 × 100 = 25%

Fraction: 37/100 → ?%
→ Already over 100 → 37%

Percentage: 10% → ? fraction
→ 10/100 = simplify → 1/10

Percentage: 23% → ? fraction
→ 23/100 → already simplified → 23/100

Percentage: 75% → ? fraction
→ 75/100 = simplify → divide top and bottom by 25 → 3/4

Percentage: 1% → ? fraction
→ 1/100 → 1/100

✔ Third table filled:

| Fraction | 1/2 | 1/4 | 37/100 | 1/10 | 23/100 | 3/4 | 1/100 |
|----------|-------|-------|--------|---------|---------|---------|---------|
| Percent | 50% | 25% | 37% | 10% | 23% | 75% | 1% |

---

Fourth Table: Fraction ↔ Decimal

We know:
- To turn a fraction into a decimal → divide numerator by denominator
- To turn a decimal into a fraction → write as over 10, 100, etc., then simplify

Given:

Decimal: 0.7 → ? fraction
→ 7/10 → 7/10

Decimal: 0.3 → ? fraction
→ 3/10 → 3/10

Decimal: 0.07 → ? fraction
→ 7/100 → 7/100

Fraction: 1/2 → ? decimal
→ 1 ÷ 2 = 0.5

Fraction: 1/4 → ? decimal
→ 1 ÷ 4 = 0.25

Fraction: 67/100 → ? decimal
→ 67 ÷ 100 = 0.67

Fraction: 3/4 → ? decimal
→ 3 ÷ 4 = 0.75

✔ Fourth table filled:

| Fraction | 7/10 | 3/10 | 7/100 | 1/2 | 1/4 | 67/100 | 3/4 |
|----------|-------|-------|--------|-------|-------|--------|-------|
| Decimal | 0.7 | 0.3 | 0.07 | 0.5 | 0.25 | 0.67 | 0.75 |

---

Final Answer:

Here are all the missing values filled in order for each table:

Table 1 (Decimal → Percentage):
10%, 20%, 61%, 0.9, 0.41, 0.92, 0.86

Table 2 (Percentage → Decimal):
3%, 0.07, 6%, 9%, 0.11, 2%, 0.08

Table 3 (Fraction → Percentage):
50%, 25%, 37%, 1/10, 23/100, 3/4, 1/100

Table 4 (Fraction → Decimal):
7/10, 3/10, 7/100, 0.5, 0.25, 0.67, 0.75