Fractions Decimals and Percents Worksheets - Math Monks - Free Printable

Let’s go row by row and convert between fractions, decimals, and percents. I’ll calculate each one carefully.

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Row 1: Decimal = 0.22

- Fraction: 0.22 = 22/100 → simplify → divide numerator and denominator by 2 → 11/50
- Percent: 0.22 × 100 = 22%

✔ Row 1: Fraction = 11/50, Percent = 22%

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Row 2: Fraction = 8/17

- Decimal: 8 ÷ 17 ≈ 0.470588... → round to 3 decimal places? The table shows some with 3 digits (like 0.293), so let’s use 0.471 (rounded)
- Percent: 0.471 × 100 = 47.1%

Wait — let me check exact value:
8 ÷ 17 = 0.470588235... → if we round to 3 decimal places, it’s 0.471 → yes.

But looking at other rows, sometimes they keep more precision? Let’s see row 9: 0.293 is given — that’s 3 decimal places. So we’ll stick with 3 decimals for consistency unless specified otherwise.

Actually, let’s be precise: maybe the worksheet expects exact or rounded values as appropriate. Since 8/17 doesn’t terminate, we’ll round to 3 decimal places.

So:
Decimal ≈ 0.471, Percent ≈ 47.1%

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Row 3: Fraction = 15/17

- Decimal: 15 17 ≈ 0.882352... → round to 3 decimals → 0.882
- Percent: 0.882 × 100 = 88.2%

Check: 15/17 = 0.882352... → yes, rounds to 0.882

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Row 4: Decimal = 0.39

- Fraction: 0.39 = 39/100 → already simplified → 39/100
- Percent: 0.39 × 100 = 39%

✔ Simple.

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Row 5: Percent = 98.9%

- Decimal: 98.9 ÷ 100 = 0.989
- Fraction: 0.989 = 989/1000 → can this be simplified? Check GCD of 989 and 1000.

Factors of 989: 23 × 43 = 989? 23×43=989? 20×43=860, 3×43=129 → 860+129=989 → yes.
1000 = 2^3 × 5^3 → no common factors with 23 or 43 → so 989/1000 is simplest form.

✔ Fraction = 989/1000, Decimal = 0.989

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Row 6: Decimal = 0.81

- Fraction: 0.81 = 81/100 → simplified? 81 and 100 share no common factors → 81/100
- Percent: 0.81 × 100 = 81%

✔ Done.

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Row 7: Percent = 30 1/5 %

First, convert mixed number percent to improper fraction or decimal.

30 1/5 % = 30.2%

- Decimal: 30.2 100 = 0.302
- Fraction: 0.302 = 302/1000 → simplify.

Divide numerator and denominator by 2: 151/500

Check: 151 is prime? Yes, not divisible by 2,3,5,7,11 → 11×13=143, 11×14=154 → too big. So 151 is prime. 500 not divisible by 151 → so 151/500

✔ Fraction = 151/500, Decimal = 0.302

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Row 8: Fraction = 3/11

- Decimal: 3 ÷ 11 = 0.272727... repeating → usually written as 0.\overline{27}, but since others are rounded to 3 decimals, let’s do 0.273 (rounding up because next digit is 7)

Wait: 3 ÷ 11 = 0.272727... → third decimal is 2, fourth is 7 → so rounding to 3 decimals: look at fourth digit (7) ≥5 → round up third digit from 2 to 3 → 0.273

- Percent: 0.273 × 100 = 27.3%

But wait — if we use exact value: 3/11 = 0.272727... → percent = 27.2727...% → which is approximately 27.3% when rounded to one decimal place. That matches.

Alternatively, maybe they want exact fractional percent? But the table has “30 1/5 %” which is exact, so perhaps for 3/11, we should write percent as a fraction?

3/11 as percent: (3/11) × 100 = 300/11 % = 27 3/11 %

That might be better! Because 300 ÷ 11 = 27 with remainder 3 → so 27 3/11 %

And decimal: 3/11 = 0.\overline{27} — but since the table uses finite decimals elsewhere, maybe they expect rounded version? Let’s check row 9: 0.293 is given — that’s likely rounded.

But in row 7, they used exact mixed number percent. So perhaps for consistency, when possible, use exact forms.

Looking back: Row 2 and 3 have fractions like 8/17 — those don’t terminate, so probably they expect rounded decimals.

But for percent, if it’s a nice fraction, maybe write as mixed number?

I think safest is to follow what’s shown: for 3/11, decimal is non-terminating, so round to 3 decimals: 0.273, percent = 27.3%

But let’s verify calculation:

3 ÷ 11 = 0.272727... → to 3 decimal places: 0.273 (since 0.2727... the third decimal is 2, but the next digit is 7, so round up → 0.273)

Percent: 0.273 × 100 = 27.3%

Alternatively, if we use exact: 300/11 % = 27 3/11 % ≈ 27.2727...% — which would round to 27.3% anyway.

So I’ll go with:

Decimal = 0.273, Percent = 27.3%

But wait — in row 7, they wrote "30 1/5 %" which is exact. Maybe for 3/11, we should write percent as "27 3/11 %"?

Let me see the pattern: In row 5, 98.9% is given — that’s decimal percent. In row 7, mixed number. So both are acceptable.

To be precise, let's calculate exactly:

3/11 = ? as percent: multiply by 100 → 300/11 = 27 + 3/11 → so 27 3/11 %

And decimal: 3/11 = 0.272727... — if we must put a decimal, perhaps they expect 0.273? But let's see row 9: 0.293 is given — that’s likely 293/1000, which is exact.

For 3/11, it's irrational in decimal, so probably they want rounded.

I think for school level, they often round to 3 decimals for such cases.

Let me check online or standard practice — but since I can't, I'll assume rounding to 3 decimals for non-terminating.

So:

Decimal = 0.273, Percent = 27.3%

But to match the style of row 7, perhaps write percent as fraction? The problem is, 27.3% is 273/1000, which is not equal to 3/11.

3/11 = 0.272727... = 27.2727...% = 27 3/11 %

So if we write percent as 27.3%, it's approximate, while 27 3/11 % is exact.

Given that row 7 used exact mixed number, I think for accuracy, we should use exact form where possible.

So for row 8:

Fraction = 3/11 (given)

Decimal = 0.\overline{27} — but since the table has finite decimals, perhaps they want it rounded. Looking at the table, all given decimals are finite: 0.22, 0.39, etc. So likely, for non-terminating, they expect rounded to 3 decimals.

Moreover, in row 9, 0.293 is given — which is 293/1000, exact.

For 3/11, if we calculate 3÷11=0.2727..., and if we round to 3 decimals, it's 0.273.

Similarly, percent 27.3%.

I think that's what is expected.

Let's proceed with that.

So Row 8: Decimal = 0.273, Percent = 27.3%

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Row 9: Decimal = 0.293

- Fraction: 0.293 = 293/1000 → check if simplifiable. 293 is prime? Let's see: divisible by primes less than sqrt(293)≈17.1: 2,3,5,7,11,13,17.

293 odd, not div by 2; sum 2+9+3=14 not div by 3; ends with 3, not 5; 7*41=287, 293-287=6, not div; 11*26=286, 293-286=7, not div; 13*22=286, same; 17*17=289, 293-289=4, not div. So 293 is prime. Thus, 293/1000

- Percent: 0.293 × 100 = 29.3%

✔ Done.

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Row 10: Percent = 38.9%

- Decimal: 38.9 ÷ 100 = 0.389
- Fraction: 0.389 = 389/1000 → check if simplifiable. 389 prime? sqrt~19.7, check primes: 2,3,5,7,11,13,17,19.

Odd, not 2; sum 3+8+9=20 not div by 3; not end with 5; 7*55=385, 389-385=4, not div; 11*35=385, same; 13*29=377, 389-377=12, not div; 17*22=374, 389-374=15, not; 19*20=380, 389-380=9, not. So 389 prime. Thus, 389/1000

✔ Fraction = 389/1000, Decimal = 0.389

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Row 11: Fraction = 6/7

- Decimal: 6 ÷ 7 ≈ 0.857142... → round to 3 decimals → 0.857 (since fourth digit is 1 <5, so no round up? Wait: 0.857142... third decimal is 7, fourth is 1 → so 0.857)

6 ÷ 7 = 0.857142857... → to 3 decimal places: look at fourth digit, which is 1, so leave as 0.857

- Percent: 0.857 × 100 = 85.7%

Exact: 6/7 * 100 = 600/7 % = 85 5/7 % ≈ 85.714...% → which rounds to 85.7% if to one decimal.

Since others are rounded, I'll use 0.857 and 85.7%

But again, for consistency with row 7, perhaps write percent as mixed number? 600/7 = 85 + 5/7 → so 85 5/7 %

And decimal: 6/7 = 0.\overline{857142} — but table has finite decimals, so likely rounded.

I think for this context, since most entries are rounded to 3 decimals for decimal column, and percent to one decimal, we'll do that.

So Decimal = 0.857, Percent = 85.7%

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Row 12: Decimal = 0.123

- Fraction: 0.123 = 123/1000 → simplify? 123 and 1000. 123 = 3*41, 1000=2^3*5^3, no common factors → 123/1000
- Percent: 0.123 × 100 = 12.3%

✔ Done.

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Row 13: Percent = 0.08%

Note: This is 0.08 percent, not 0.08 as decimal.

- Decimal: 0.08% means 0.08 per hundred, so divide by 100: 0.08 / 100 = 0.0008
- Fraction: 0.0008 = 8/10000 = 1/1250 (divide numerator and denominator by 8)

Check: 8 ÷ 8 =1, 10000 8 = 1250 → yes, 1/1250

✔ Fraction = 1/1250, Decimal = 0.0008

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Row 14: Decimal = 0.008

- Fraction: 0.008 = 8/1000 = 1/125 (divide by 8)
- Percent: 0.008 × 100 = 0.8%

✔ Fraction = 1/125, Percent = 0.8%

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Now, let's compile all answers in order.

List of rows:

1. Given decimal 0.22 → fraction ?, percent ?
2. Given fraction 8/17 → decimal ?, percent ?
3. Given fraction 15/17 → decimal ?, percent ?
4. Given decimal 0.39 → fraction ?, percent ?
5. Given percent 98.9% → fraction ?, decimal ?
6. Given decimal 0.81 → fraction ?, percent ?
7. Given percent 30 1/5 % → fraction ?, decimal ?
8. Given fraction 3/11 → decimal ?, percent ?
9. Given decimal 0.293 → fraction ?, percent ?
10. Given percent 38.9% → fraction ?, decimal ?
11. Given fraction 6/7 → decimal ?, percent ?
12. Given decimal 0.123 → fraction ?, percent ?
13. Given percent 0.08% → fraction ?, decimal ?
14. Given decimal 0.008 → fraction ?, percent ?

Now fill in:

Row 1: Fraction = 11/50, Percent = 22%

Row 2: Decimal = 0.471, Percent = 47.1% [8/17 ≈ 0.470588 → 0.471]

Row 3: Decimal = 0.882, Percent = 88.2% [15/17 ≈ 0.882352 → 0.882]

Row 4: Fraction = 39/100, Percent = 39%

Row 5: Fraction = 989/1000, Decimal = 0.989

Row 6: Fraction = 81/100, Percent = 81%

Row 7: Fraction = 151/500, Decimal = 0.302 [30.2% = 0.302]

Row 8: Decimal = 0.273, Percent = 27.3% [3/11 ≈ 0.2727 → 0.273]

Row 9: Fraction = 293/1000, Percent = 29.3%

Row 10: Fraction = 389/1000, Decimal = 0.389

Row 11: Decimal = 0.857, Percent = 85.7% [6/7 ≈ 0.857142 → 0.857]

Row 12: Fraction = 123/1000, Percent = 12.3%

Row 13: Fraction = 1/1250, Decimal = 0.0008

Row 14: Fraction = 1/125, Percent = 0.8%

I think that's all. Now, to present the final answer, I need to list them in the order of the table, filling in the blanks.

The table has columns: Fractions, Decimals, Percent

So for each row, provide the missing values.

Final Answer should be the completed table or list of filled values.

Since it's a table, perhaps list each row's missing parts.

But the instruction says "provide only the final correct answer" after reasoning.

Probably, list the answers in order, specifying what goes where.

Since it's a grid, I can write the full table with all cells filled.

But to save space, perhaps list the missing values per row.

Looking at the user's request, they want the solution to the task, which is to fill in the blanks.

So I'll provide the completed table in text form.

Let me write it row by row.

Row 1: Fractions: 11/50, Decimals: 0.22 (given), Percent: 22%

Row 2: Fractions: 8/17 (given), Decimals: 0.471, Percent: 47.1%

Row 3: Fractions: 15/17 (given), Decimals: 0.882, Percent: 88.2%

Row 4: Fractions: 39/100, Decimals: 0.39 (given), Percent: 39%

Row 5: Fractions: 989/1000, Decimals: 0.989, Percent: 98.9% (given)

Row 6: Fractions: 81/100, Decimals: 0.81 (given), Percent: 81%

Row 7: Fractions: 151/500, Decimals: 0.302, Percent: 30 1/5 % (given)

Row 8: Fractions: 3/11 (given), Decimals: 0.273, Percent: 27.3%

Row 9: Fractions: 293/1000, Decimals: 0.293 (given), Percent: 29.3%

Row 10: Fractions: 389/1000, Decimals: 0.389, Percent: 38.9% (given)

Row 11: Fractions: 6/7 (given), Decimals: 0.857, Percent: 85.7%

Row 12: Fractions: 123/1000, Decimals: 0.123 (given), Percent: 12.3%

Row 13: Fractions: 1/1250, Decimals: 0.0008, Percent: 0.08% (given)

Row 14: Fractions: 1/125, Decimals: 0.008 (given), Percent: 0.8%

In row 7, percent is given as "30 1/5 %", which is 30.2%, and we have decimal 0.302, fraction 151/500.

Similarly, for row 8, I used 0.273 and 27.3%, but as discussed, it could be exact. However, for consistency with the table's style (finite decimals), I'll keep it as is.

One thing: in row 13, percent is 0.08%, which is very small, and we have decimal 0.0008, which is correct.

Now, to box the final answer, perhaps list all the filled values in sequence.

Since the task is to complete the table, I'll provide the answers for each blank cell in order.

The table has 14 rows, and for each row, some cells are blank.

Let me identify which cells are blank and fill them.

From the image description (though I shouldn't describe, but for solving):

Row 1: Fractions blank, Percent blank → fill 11/50 and 22%

Row 2: Decimals blank, Percent blank → fill 0.471 and 47.1%

Row 3: Decimals blank, Percent blank → fill 0.882 and 88.2%

Row 4: Fractions blank, Percent blank → fill 39/100 and 39%

Row 5: Fractions blank, Decimals blank → fill 989/1000 and 0.989

Row 6: Fractions blank, Percent blank → fill 81/100 and 81%

Row 7: Fractions blank, Decimals blank → fill 151/500 and 0.302

Row 8: Decimals blank, Percent blank → fill 0.273 and 27.3%

Row 9: Fractions blank, Percent blank → fill 293/1000 and 29.3%

Row 10: Fractions blank, Decimals blank → fill 389/1000 and 0.389

Row 11: Decimals blank, Percent blank → fill 0.857 and 85.7%

Row 12: Fractions blank, Percent blank → fill 123/1000 and 12.3%

Row 13: Fractions blank, Decimals blank → fill 1/1250 and 0.0008

Row 14: Fractions blank, Percent blank → fill 1/125 and 0.8%

Now, for the final answer, I'll list these in order.

Perhaps as a list:

1. Fractions: 11/50, Percent: 22%
2. Decimals: 0.471, Percent: 47.1%
3. Decimals: 0.882, Percent: 88.2%
4. Fractions: 39/100, Percent: 39%
5. Fractions: 989/1000, Decimals: 0.989
6. Fractions: 81/100, Percent: 81%
7. Fractions: 151/500, Decimals: 0.302
8. Decimals: 0.273, Percent: 27.3%
9. Fractions: 293/1000, Percent: 29.3%
10. Fractions: 389/1000, Decimals: 0.389
11. Decimals: 0.857, Percent: 85.7%
12. Fractions: 123/1000, Percent: 12.3%
13. Fractions: 1/1250, Decimals: 0.0008
14. Fractions: 1/125, Percent: 0.8%

I think this is clear.

For row 8, if the teacher expects exact percent, it should be 27 3/11 %, but given the context, 27.3% is fine. Similarly for others.

To be thorough, let's double-check a few calculations.

For row 2: 8/17 = ? 17*0.47 = 7.99, close to 8, so 0.470588, rounded to 0.471 is correct.

Row 3: 15/17 = 0.882352, rounded to 0.882 — yes, since next digit is 3<5? Wait, 0.882352, third decimal is 2, fourth is 3, so should be 0.882, not rounded up. Earlier I said 0.882, which is correct.

0.882352: digits after decimal: 8 (tenths), 8 (hundredths), 2 (thousandths), 3 (ten-thousandths) — so to three decimal places, look at fourth digit 3 <5, so do not round up, so 0.882. Yes.

Similarly, row 11: 6/7 = 0.857142, third decimal is 7, fourth is 1<5, so 0.857 — correct.

Row 8: 3/11 = 0.272727, third decimal is 2, fourth is 7≥5, so round up to 0.273 — correct.

All good.

Final Answer:

Here are the completed values for each row:

- Row 1: Fractions = \(\frac{11}{50}\), Percent = 22%
- Row 2: Decimals = 0.471, Percent = 47.1%
- Row 3: Decimals = 0.882, Percent = 88.2%
- Row 4: Fractions = \(\frac{39}{100}\), Percent = 39%
- Row 5: Fractions = \(\frac{989}{1000}\), Decimals = 0.989
- Row 6: Fractions = \(\frac{81}{100}\), Percent = 81%
- Row 7: Fractions = \(\frac{151}{500}\), Decimals = 0.302
- Row 8: Decimals = 0.273, Percent = 27.3%
- Row 9: Fractions = \(\frac{293}{1000}\), Percent = 29.3%
- Row 10: Fractions = \(\frac{389}{1000}\), Decimals = 0.389
- Row 11: Decimals = 0.857, Percent = 85.7%
- Row 12: Fractions = \(\frac{123}{1000}\), Percent = 12.3%
- Row 13: Fractions = \(\frac{1}{1250}\), Decimals = 0.0008
- Row 14: Fractions = \(\frac{1}{125}\), Percent = 0.8%

This completes the table.