Convert fractions, decimals, and percents in this educational worksheet.

Let’s go row by row and fill in the missing parts. We’ll convert between fractions, decimals, and percents using simple rules:

- 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).
- To turn a fraction into a decimal, divide numerator by denominator.
- To turn a decimal into a fraction, write it over 10, 100, 1000 etc., then simplify.
- To turn a fraction into a percent, first make it a decimal, then multiply by 100.

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Row 1:
Decimal = 0.5
→ Percent = 0.5 × 100 = 50%
→ Fraction = 0.5 = 5/10 = 1/2

Row 2:
Percent = 6%
→ Decimal = 6 ÷ 100 = 0.06
→ Fraction = 6/100 = 3/50 (simplified)

Row 3:
Fraction = 8/100
→ Decimal = 8 ÷ 100 = 0.08
→ Percent = 0.08 × 100 = 8%

Row 4:
Percent = 16%
→ Decimal = 16 ÷ 100 = 0.16
→ Fraction = 16/100 = 4/25 (simplified)

Row 5:
Decimal = 0.61
→ Percent = 0.61 × 100 = 61%
→ Fraction = 61/100 (already simplified)

Row 6:
Fraction = 71/100
→ Decimal = 71 ÷ 100 = 0.71
→ Percent = 0.71 × 100 = 71%

Row 7:
Decimal = 3.68
→ Percent = 3.68 × 100 = 368%
→ Fraction = 3.68 = 368/100 = 92/25 or 3 17/25 (we can leave as improper fraction 92/25 unless mixed number is preferred — but since others are simple, let’s use 92/25)

Wait — actually, for consistency with other rows that use denominators like 100, maybe we should write 368/100 and simplify? But 368/100 simplifies to 92/25. Let’s check if the worksheet expects simplified fractions. Looking at row 8: 2/5 is already simplified. Row 10: 5/10 — which is not simplified! So maybe they don’t require simplifying? Hmm.

Actually, looking again — row 3 is 8/100, which is not simplified. Row 6 is 71/100. Row 10 is 5/10. So perhaps they want the fraction based on the decimal place without necessarily simplifying? But row 8 is 2/5 — which is simplified from 4/10.

To be safe, let’s follow what makes sense mathematically and match the pattern. For 3.68, as a fraction: 368/100 → reduce by dividing numerator and denominator by 4 → 92/25. That’s correct. But maybe the worksheet expects 368/100? Let’s see — no, because 5/10 is given, which reduces to 1/2, but they left it as 5/10. So perhaps they accept unsimplified? Actually, 5/10 is acceptable as is. Similarly, 8/100 is acceptable.

But 3.68 as a fraction — if we write it as 368/100, that’s fine. Or 3 68/100. But the table says “FRACTIONS” — probably meaning proper or improper fractions, not mixed numbers. So 368/100 is okay, but let’s simplify it to lowest terms as standard practice. I think 92/25 is better. However, to match the style of the worksheet (which has 8/100, 71/100, 5/10), maybe they prefer denominator 100 when possible? But 3.68 = 368/100, which is exact. And 368/100 can be reduced, but perhaps for this level, they just want 368/100? Wait — row 8 is 2/5, which is simplified. Row 10 is 5/10 — not simplified. So inconsistent.

I think safest is to give the fraction in simplest form unless the decimal clearly maps to /100. For 3.68, since it’s hundredths, 368/100 is direct, but let’s reduce it: divide numerator and denominator by 4 → 92/25. Yes, that’s correct. I’ll go with 92/25.

Alternatively, maybe the worksheet expects all fractions to have denominator 100 if possible? But 2/5 doesn’t. Hmm.

Looking back: Row 1: 0.5 → fraction should be 1/2 or 5/10? They didn’t specify. But in row 10, they gave 5/10, so maybe they accept non-simplified. But for accuracy, I’ll use simplified where obvious.

Actually, let me double-check common practice in such worksheets: usually, they expect simplified fractions. For example, 0.5 is 1/2, not 5/10. But here row 10 is given as 5/10, so perhaps they are showing unsimplified. This is confusing.

To resolve: Let’s look at row 8: 2/5 is given. 2/5 = 0.4 = 40%. If they had written 4/10, it would be same value. But they chose 2/5, so likely they want simplified fractions.

Similarly, row 3: 8/100 — that’s not simplified, but maybe because it’s directly from percent? 8% = 8/100.

For consistency, I’ll do this:

- If the decimal terminates at hundredths, write as x/100, then simplify if needed.
- But for row 7: 3.68 = 368/100 = 92/25 after simplifying.

I think 92/25 is correct. Let’s proceed.

Row 8:
Fraction = 2/5
→ Decimal = 2 ÷ 5 = 0.4
→ Percent = 0.4 × 100 = 40%

Row 9:
Percent = 976%
→ Decimal = 976 ÷ 100 = 9.76
→ Fraction = 976/100 = simplify: divide numerator and denominator by 4 → 244/25. Or as mixed number 9 19/25, but again, table says "fractions", so improper fraction 244/25 is fine. Alternatively, 976/100 can be left, but simplified is better. 976 ÷ 4 = 244, 100 ÷ 4 = 25, so 244/25.

Row 10:
Fraction = 5/10
→ Decimal = 5 ÷ 10 = 0.5
→ Percent = 0.5 × 100 = 50%

Now, let’s compile all answers in order.

Final Answer:

1. Fraction: 1/2, Percent: 50%
2. Fraction: 3/50, Decimal: 0.06
3. Decimal: 0.08, Percent: 8%
4. Fraction: 4/25, Decimal: 0.16
5. Fraction: 61/100, Percent: 61%
6. Decimal: 0.71, Percent: 71%
7. Fraction: 92/25, Percent: 368%
8. Decimal: 0.4, Percent: 40%
9. Fraction: 244/25, Decimal: 9.76
10. Decimal: 0.5, Percent: 50%

Wait — for row 7, is 92/25 acceptable? Let me confirm: 92 ÷ 25 = 3.68, yes. And 368% is correct.

For row 9: 976% = 9.76 = 976/100 = 244/25, yes.

But let me check if any can be written more simply or if I made a mistake.

Another thought: in row 7, since 3.68 is given, and percent is asked, 368% is correct. Fraction: 3.68 = 368/100 = 92/25. Correct.

Similarly, row 9: 976% = 9.76 = 976/100 = 244/25. Correct.

Now, for the final answer, I need to present it clearly as per the table.

Since the user wants the filled table, I'll list each row with the missing values.

But the instruction says: "Final Answer: [Provide only the final correct answer]"

So I should output the completed table entries.

Perhaps list them as:

1. Fraction: \frac{1}{2}, Percent: 50\%
2. Fraction: \frac{3}{50}, Decimal: 0.06
3. Decimal: 0.08, Percent: 8\%
4. Fraction: \frac{4}{25}, Decimal: 0.16
5. Fraction: \frac{61}{100}, Percent: 61\%
6. Decimal: 0.71, Percent: 71\%
7. Fraction: \frac{92}{25}, Percent: 368\%
8. Decimal: 0.4, Percent: 40\%
9. Fraction: \frac{244}{25}, Decimal: 9.76
10. Decimal: 0.5, Percent: 50\%

But to match the format, perhaps just state the missing parts in order.

Since the original table has blanks, and we're filling them, I can write the answers for each blank.

But the safest way is to provide the full row completions.

Given that, I'll box the final answer as the list above.

However, let me verify row 7 fraction again. Is there a simpler way? 3.68 = 368/100 = 92/25. Yes. Some might write 3 17/25, but the table says "fractions", and other entries are improper or proper, so 92/25 is fine.

Similarly, row 9: 244/25.

But let me check row 2: 6% = 6/100 = 3/50, correct.

Row 4: 16% = 16/100 = 4/25, correct.

All seem correct.

One more thing: in row 1, fraction is 1/2, but could also be 5/10? But since row 10 is given as 5/10, and row 1 is to be filled, I think 1/2 is better as simplified. The worksheet may accept either, but mathematically 1/2 is standard.

Similarly, for row 5, 61/100 is already simplified.

Okay, I think it's good.

Final Answer:

1. Fraction: $\frac{1}{2}$, Percent: $50\%$
2. Fraction: $\frac{3}{50}$, Decimal: $0.06$
3. Decimal: $0.08$, Percent: $8\%$
4. Fraction: $\frac{4}{25}$, Decimal: $0.16$
5. Fraction: $\frac{61}{100}$, Percent: $61\%$
6. Decimal: $0.71$, Percent: $71\%$
7. Fraction: $\frac{92}{25}$, Percent: $368\%$
8. Decimal: $0.4$, Percent: $40\%$
9. Fraction: $\frac{244}{25}$, Decimal: $9.76$
10. Decimal: $0.5$, Percent: $50\%$