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

Explanation:
We need to fill in the missing gaps in four tables that convert between decimals, fractions, and percentages.

Let’s go table by table.

---

Table 1: Decimal ↔ Percentage

Recall:
- To turn a decimal into a percentage: multiply by 100 (e.g., 0.01 → 1%).
- To turn a percentage into a decimal: divide by 100 (e.g., 6% → 0.06).

Given:
- Decimal: 0.01 → Percentage = 0.01 × 100 = 1%
- Decimal: 0.58 → Percentage = 0.58 × 100 = 58%
- Decimal: 0.09 → Percentage = 0.09 × 100 = 9%
- Percentage: 6% → Decimal = 6 ÷ 100 = 0.06
- Percentage: 0.2% → Decimal = 0.2 ÷ 100 = 0.002
- Percentage: 1.5% → Decimal = 1.5 ÷ 100 = 0.015
- Percentage: ½% = 0.5% → Decimal = 0.5 ÷ 100 = 0.005

So Table 1 completed:

| Decimal | 0.01 | 0.58 | 0.09 | 0.06 | 0.002 | 0.015 | 0.005 |
|---------|------|------|------|------|--------|--------|--------|
| % | 1% | 58% | 9% | 6% | 0.2% | 1.5% | ½% |

✔ All filled.

---

Table 2: Fraction ↔ Percentage

Recall:
- To turn a fraction into a percentage: divide numerator by denominator, then × 100.
- Or: write as ?/100 if possible.

Given:
- Fraction: ¼ → 1 ÷ 4 = 0.25 → ×100 = 25%
- Fraction: 1/10 → 1 ÷ 10 = 0.1 → ×100 = 10%
- Fraction: 3/100 → already over 100 → 3%
- Percentage: 50% → 50/100 = ½
- Percentage: 17% → 17/100 = 17/100
- Percentage: 90% → 90/100 = 9/10
- Percentage: 1% → 1/100 = 1/100

So Table 2:

| Fraction | ¼ | 1/10 | 3/100 | ½ | 17/100 | 9/10 | 1/100 |
|----------|-----|------|-------|------|--------|------|--------|
| % | 25% | 10% | 3% | 50% | 17% | 90% | 1% |

✔ All filled.

---

Table 3: Fraction ↔ Percentage

Given:
- Percentage: 20% → 20/100 = 1/5
- Percentage: 80% → 80/100 = 4/5
- Percentage: 15% → 15/100 = 3/20
- Fraction: 3/5 → 3 ÷ 5 = 0.6 → ×100 = 60%
- Fraction: 1/50 → 1 ÷ 50 = 0.02 → ×100 = 2%
- Fraction: 12/25 → 12 ÷ 25 = 0.48 → ×100 = 48%
- Fraction: 7/20 → 7 ÷ 20 = 0.35 → ×100 = 35%

So Table 3:

| Fraction | 1/5 | 4/5 | 3/20 | 3/5 | 1/50 | 12/25 | 7/20 |
|----------|------|------|------|------|------|--------|------|
| % | 20% | 80% | 15% | 60% | 2% | 48% | 35% |

✔ All filled.

---

Table 4: Fraction ↔ Decimal

Convert each fraction to decimal by dividing numerator by denominator.

- 1/3 = 0.333... → we usually write 0.\overline{3} or round? But since others are exact decimals, maybe keep as repeating decimal. In elementary worksheets, often written as 0.33 or 0.\overline{3} — but let’s see other entries:
However, looking at the worksheet, likely expects exact decimals where possible; for repeating, they may accept fraction form or rounded — but here it's “Decimal” row, so we give decimal approximations or exact forms.

But let’s compute precisely:

- 1/3 = 0.\overline{3} (or 0.333...)
- 2/3 = 0.\overline{6} (0.666...)
- 1/9 = 0.\overline{1} (0.111...)
- 1/6 = 0.1\overline{6} (0.1666...)
- 5/6 = 0.8\overline{3} (0.8333...)
- 1/11 = 0.\overline{09} (0.090909...)
- 3/7 = 0.\overline{428571} (approx 0.4286) — but again, for school level, sometimes they expect rounding to 2 or 3 decimal places.

However, looking at the worksheet design (from Cazoom), they typically expect exact decimals *if terminating*, and for repeating, they may accept fraction or write with bar — but since the row is labeled "Decimal", and no instruction says "round", and earlier tables used exact values (like 0.002), we should give exact decimal forms, using bar notation where needed.

But many elementary worksheets avoid bar notation and instead use rounded decimals to 2 or 3 places. Let’s check consistency:

In Table 1, they used 0.002 (exact), not 0.0020 — so they prefer exact.

So best to give exact decimals using repeating notation if needed. However, since this is likely for middle school, and the answer format is blank cells, perhaps they expect:

- 1/3 → 0.33 (2 d.p.)? But 0.33 is inaccurate.

Let me verify common practice in Cazoom worksheets: They often use exact decimals when terminating, and for non-terminating, they either leave as fraction (but here row is decimal), or use 2 decimal places.

Wait — look at the given data: all decimals in Table 1 are exact (0.01, 0.58, etc.), and percentages like 0.2% suggest precision to 3 decimal places.

So for accuracy, I will give exact decimals with repeating bar notation where appropriate. If the platform doesn’t support bar, we can write as rounded to 3 decimal places — but the problem doesn’t specify.

Given this is a fill-in-the-blank worksheet, and blanks are empty cells, likely they expect:

- 1/3 = 0.333 (or 0.\overline{3})
But since it's text, and no formatting, many such worksheets accept 0.33 or 0.333.

Let me double-check standard conversions used in similar resources:

- 1/3 = 0.333 (to 3 d.p.)
- 2/3 = 0.667
- 1/9 = 0.111
- 1/6 = 0.167
- 5/6 = 0.833
- 1/11 = 0.091 (since 1 ÷ 11 = 0.090909… → 0.091 to 3 d.p.)
- 3/7 = 0.429 (since 3 ÷ 7 ≈ 0.428571 → 0.429)

Yes, that matches typical school rounding to 3 decimal places.

Let’s compute each:

1. 1/3 = 0.333333... → 0.333
2. 2/3 = 0.666666... → 0.667
3. 1/9 = 0.111111... → 0.111
4. 1/6 = 0.166666... → 0.167
5. 5/6 = 0.833333... → 0.833
6. 1/11 = 0.090909... → 0.091
7. 3/7 = 0.428571... → 0.429

These are standard 3-decimal-place approximations used in such worksheets.

So Table 4:

| Fraction | 1/3 | 2/3 | 1/9 | 1/6 | 5/6 | 1/11 | 3/7 |
|----------|-------|-------|-------|-------|-------|-------|-------|
| Decimal | 0.333 | 0.667 | 0.111 | 0.167 | 0.833 | 0.091 | 0.429 |

✔ All filled.

Now compile all missing values in order as they appear in the worksheet.

Let me list all blanks row by row as in the image:

First table (Decimal/Percentage):
Blanks in Percentage row: columns 1–3 → 1%, 58%, 9%
Blanks in Decimal row: columns 4–7 → 0.06, 0.002, 0.015, 0.005

Second table (Fraction/Percentage):
Blanks in Percentage row: columns 1–3 → 25%, 10%, 3%
Blanks in Fraction row: columns 4–7 → ½, 17/100, 9/10, 1/100

Third table (Fraction/Percentage):
Blanks: Fraction row cols 1–3 → 1/5, 4/5, 3/20
Percentage row cols 4–7 → 60%, 2%, 48%, 35%

Fourth table (Fraction/Decimal):
Decimal row cols 1–7 → 0.333, 0.667, 0.111, 0.167, 0.833, 0.091, 0.429

All values verified.

Final Answer will list all missing entries in the order they appear left to right, top to bottom, as per the worksheet layout.

But the question says: “Fill in the missing gaps.” So the final answer should be the completed tables — but since output must be only the Final Answer, and it's a lot, likely they expect the values in order.

However, standard practice for such tasks is to provide the missing values in the order of the blanks as they appear in the grid.

Let me count blanks:

Table 1:
- % row: 3 blanks (col1–3)
- Decimal row: 4 blanks (col4–7)
→ 7 blanks

Table 2:
- % row: 3 blanks (col1–3)
- Fraction row: 4 blanks (col4–7)
→ 7 blanks

Table 3:
- Fraction row: 3 blanks (col1–3)
- % row: 4 blanks (col4–7)
→ 7 blanks

Table 4:
- Decimal row: 7 blanks (all 7 columns)
→ 7 blanks

Total 28 blanks.

But the instruction says: “Provide only the final correct answer” — likely they want the completed tables, but since it's text, perhaps list each missing value in order.

Given the format of such problems on Cazoom, the expected output is the filled values in the blanks — and in answer keys, they list them row-wise.

To be safe, I will output the missing values in the order they appear in the worksheet, grouped by table, using clear formatting.

But per instructions: Final Answer: [Only the final correct answer] — so just the values, probably comma-separated or in a structured way.

Since it's a worksheet with 4 tables, and the user expects the filled gaps, I’ll provide all missing entries in order, separated by commas, as a single line — but that’s messy.

Alternative: Provide each table’s missing entries clearly.

But the instruction says *only* the final answer, after reasoning.

I think the cleanest is:

For Table 1 (Percentage row blanks): 1%, 58%, 9%
Table 1 (Decimal row blanks): 0.06, 0.002, 0.015, 0.005
Table 2 (Percentage row blanks): 25%, 10%, 3%
Table 2 (Fraction row blanks): 1/2, 17/100, 9/10, 1/100
Table 3 (Fraction row blanks): 1/5, 4/5, 3/20
Table 3 (Percentage row blanks): 60%, 2%, 48%, 35%
Table 4 (Decimal row blanks): 0.333, 0.667, 0.111, 0.167, 0.833, 0.091, 0.429

But since the format要求 only Final Answer, I’ll compress into one line with clear separators.

However, looking at similar problems, the expected final answer is the completed grid — but here we can't draw a grid.

Given constraints, I will output the missing values in order, as they would be filled left-to-right, top-to-bottom, each blank separated by commas.

Let me reconstruct the blank positions:

Table 1:
Row "Percentage": 3 blanks → 1%, 58%, 9%
Row "Decimal": 4 blanks → 0.06, 0.002, 0.015, 0.005

Table 2:
Row "Percentage": 3 blanks → 25%, 10%, 3%
Row "Fraction": 4 blanks → 1/2, 17/100, 9/10, 1/100

Table 3:
Row "Fraction": 3 blanks → 1/5, 4/5, 3/20
Row "Percentage": 4 blanks → 60%, 2%, 48%, 35%

Table 4:
Row "Decimal": 7 blanks → 0.333, 0.667, 0.111, 0.167, 0.833, 0.091, 0.429

So total 3+4+3+4+3+4+7 = 28 values.

Final Answer will be these 28 values in order, comma-separated.

But to avoid error, I’ll write them clearly:

1% , 58% , 9% , 0.06 , 0.002 , 0.015 , 0.005 , 25% , 10% , 3% , 1/2 , 17/100 , 9/10 , 1/100 , 1/5 , 4/5 , 3/20 , 60% , 2% , 48% , 35% , 0.333 , 0.667 , 0.111 , 0.167 , 0.833 , 0.091 , 0.429

Yes.

Let me double-check a few:
- 1/50 = 2% ✔️
- 12/25 = 48% ✔️ (12÷25=0.48)
- 7/20 = 35% ✔️
- 1/11 ≈ 0.0909 → 0.091 ✔️
- 3/7 ≈ 0.42857 → 0.429 ✔️

All correct.

Final Answer:
1%, 58%, 9%, 0.06, 0.002, 0.015, 0.005, 25%, 10%, 3%, 1/2, 17/100, 9/10, 1/100, 1/5, 4/5, 3/20, 60%, 2%, 48%, 35%, 0.333, 0.667, 0.111, 0.167, 0.833, 0.091, 0.429