Math worksheet for converting fractions, decimals, and percentages.

Let’s go row by row and fill in the missing values for Fraction, Decimal, and Percent.

We’ll use these basic conversions:
- To turn a fraction into a decimal: divide numerator by denominator.
- To turn a decimal into a percent: multiply by 100 and add “%”.
- To turn a percent into a decimal: divide by 100.
- To turn a decimal into a fraction: write it over 10, 100, or 1000 (depending on decimal places), then simplify.
- To turn a percent into a fraction: write it over 100, then simplify.

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Row 1:
Fraction = ¼ → Decimal = 0.25 → Percent = ?
→ 0.25 × 100 = 25%

Row 2:
Fraction = ⁴/₅ → Decimal = ? → Percent = ?
→ 4 ÷ 5 = 0.8 → 0.8 × 100 = 80%

Row 3:
Fraction = ⁷/₁₀ → Decimal = ? → Percent = 70%
→ 7 ÷ 10 = 0.7 → matches 70% ✓

Row 4:
Fraction = ? → Decimal = 0.3 → Percent = ?
→ 0.3 = ³/₁₀ → 0.3 × 100 = 30%

Row 5:
Fraction = ? → Decimal = 0.9 → Percent = ?
→ 0.9 = ⁹/₁₀ → 0.9 × 100 = 90%

Row 6:
Fraction = ? → Decimal = 0.24 → Percent = ?
→ 0.24 = ²⁴/₁₀₀ = ⁶/₂₅ → 0.24 × 100 = 24%

Row 7:
Fraction = ? → Decimal = ? → Percent = 60%
→ 60% = 0.6 → 0.6 = ⁶/₁₀ = ³/

Row 8:
Fraction = ? → Decimal = ? → Percent = 20%
→ 20% = 0.2 → 0.2 = ²/₁₀ = ¹/

Row 9:
Fraction = ? → Decimal = ? → Percent = 14%
→ 14% = 0.14 → 0.14 = ¹⁴/₁₀₀ = ⁷/₅₀

Row 10:
Fraction = ¹/₈ → Decimal = ? → Percent = ?
→ 1 ÷ 8 = 0.125 → 0.125 × 100 = 12.5%

Row 11:
Fraction = ? → Decimal = 0.79 → Percent = ?
→ 0.79 = ⁷⁹/₁₀₀ → 0.79 × 100 = 79%

Row 12:
Fraction = ? → Decimal = ? → Percent = 86%
→ 86% = 0.86 → 0.86 = ⁶/₁₀₀ = ⁴³/₅₀

Row 13:
Fraction = ? → Decimal = 0.36 → Percent = ?
→ 0.36 = ³⁶/₁₀₀ = ⁹/₂₅ → 0.36 × 100 = 36%

Row 14:
Fraction = ¾ → Decimal = ? → Percent = ?
→ 3 ÷ 4 = 0.75 → 0.75 × 100 = 75%

Row 15:
Fraction = ? → Decimal = 0.45 → Percent = ?
→ 0.45 = ⁴⁵/₁₀₀ = ⁹/₂₀ → 0.45 × 100 = 45%

Row 16:
Fraction = ? → Decimal = ? → Percent = 37.5%
→ 37.5% = 0.375 → 0.375 = ³⁷⁵/₁₀₀₀ = ³/₈

Row 17:
Fraction = ²/₃ → Decimal = ? → Percent = ?
→ 2 ÷ 3 ≈ 0.666... → we can write as 0.6̅ or round to 0.67 if needed, but exact is repeating.
→ 0.666... × 100 = 66.6̅% or approximately 66.67%

But since other answers are exact, let’s keep it as fraction-based:

Actually, ²/₃ = 0.666... = 66% — that’s the most accurate percent form.

So:
Decimal = 0.6̅ (or 0.666...)
Percent = 66%

But looking at the sheet, they may expect rounded or fractional percent? Let’s check context.

In Row 10, they used 12.5%, which is exact. In Row 16, 37.5% — also exact. So for ²/₃, best to write:

Decimal: 0.666... or 0.6̅
Percent: 66.6̅% or 66⅔%

Since this is a school worksheet, and others are exact decimals/percents, perhaps they want:

For ²/₃:
Decimal: 0.67 (rounded) — but that’s not exact.
Wait — actually, in many curricula, they accept 0.6̅ and 66%.

Looking back at the problem: all other entries are either terminating decimals or nice percents. But ²/₃ is inherently repeating.

I think we should write:

Decimal: 0.666... or better yet, leave as 0.6̅ if allowed — but since the sheet has only numbers, maybe write 0.67? No — let's be precise.

Actually, checking standard practice: for ²/, decimal is often written as 0.67 when rounded to two decimals, but percent is 66.67% — but again, not exact.

Wait — look at Row 16: 37.5% — that’s exact because 3/8 = 0.375.

Similarly, ²/₃ cannot be expressed exactly as a finite decimal or percent without repeating.

But in the table, they have 0.25, 0.3, etc., so likely they expect:

For ²/₃:
Decimal: 0.67 (if rounding to two places) — but let’s see what fits.

Alternatively, perhaps write the exact value.

I recall that in such worksheets, sometimes they accept:

²/₃ = 0.666... → but since space is limited, maybe write 0.67 and 66.67%? But that’s approximate.

Wait — let me double-check with calculation:

2 ÷ 3 = 0.666666...

×100 = 66.6666...% = 66⅔%

And 66% is an exact percent representation.

Similarly, decimal can be written as 0.6̅, but if the sheet doesn’t allow bar notation, perhaps leave blank? No.

Looking at the original image description — no, I shouldn't refer to image.

But logically, since 1/8 gave 0.125 and 12.5%, which are exact, and 3/4 gave 0.75 and 75%, exact, then for 2/3, we must use repeating or fractional percent.

I think the expected answer is:

Decimal: 0.67 (rounded to two decimal places)
Percent: 66.67% (rounded)

But that’s inconsistent with others.

Wait — another thought: perhaps they want the exact fraction-to-decimal without rounding? But 2/3 doesn’t terminate.

Let me check online or standard curriculum — but I can’t.

Alternative: in some systems, they write 2/3 as 0.6 recurring, and 66.6 recurring %.

But for this worksheet, since all other decimals are given to 2 or 3 places, and percents to whole or one decimal, perhaps:

For 2/3:

Decimal: 0.67
Percent: 66.7%

But let’s calculate precisely:

2 ÷ 3 = 0.666... → to three decimals: 0.667? No, 0.666... rounds to 0.67 if to two decimals.

Standard rounding: 0.666... to two decimal places is 0.67.

Percent: 66.666...% → to one decimal place: 66.7%

But in Row 10, they have 12.5% — one decimal, so 66.7% is acceptable.

However, 37.5% is given — which is exact.

Perhaps for consistency, we should use exact forms where possible.

Another idea: maybe for 2/3, they expect:

Decimal: leave as fraction? No, column is "DECIMAL".

I think the safest is to use:

Decimal: 0.67 (rounded)
Percent: 66.7% (rounded)

But let’s verify with actual math:

If we do 2/3 * 100 = 200/3 = 66 2/3 % = 66.666...%

So writing 66.7% is rounded.

But in educational contexts, sometimes they prefer the fractional percent.

Looking back at the user’s options: ExplainAnswer is false, so I don’t need to explain, just provide final answer.

But I must ensure accuracy.

Let me list all rows with filled values:

Row 1: ¼ | 0.25 | 25%

Row 2: ⁴/₅ | 0.8 | 80%

Row 3: ⁷/₁₀ | 0.7 | 70%

Row 4: ³/₁₀ | 0.3 | 30%

Row 5: ⁹/₁₀ | 0.9 | 90%

Row 6: ⁶/₂ | 0.24 | 24% [since 0.24=24/100=6/25]

Row 7: ³/ | 0.6 | 60%

Row 8: ¹/ | 0.2 | 20%

Row 9: ⁷/₅₀ | 0.14 | 14% [14%=14/100=7/50]

Row 10: ¹/ | 0.125 | 12.5%

Row 11: ⁷⁹/₁₀₀ | 0.79 | 79%

Row 12: ⁴³/₅₀ | 0.86 | 86% [86%=86/100=43/50]

Row 13: ⁹/₂₅ | 0.36 | 36% [0.36=36/100=9/25]

Row 14: ¾ | 0.75 | 75%

Row 15: ⁹/₂₀ | 0.45 | 45% [0.45=45/100=9/20]

Row 16: ³/₈ | 0.375 | 37.5%

Row 17: ²/₃ | 0.666... or 0.67 | 66.666...% or 66.7%

Now, for Row 17, to match the precision of others:

- Most decimals are given to 2 or 3 places: 0.25, 0.8, 0.7, 0.3, 0.9, 0.24, 0.6, 0.2, 0.14, 0.125, 0.79, 0.86, 0.36, 0.75, 0.45, 0.375

0.125 and 0.375 are to 3 places, others mostly 2.

0.666... to 3 places is 0.667? But 2/3 is exactly 0.666..., so if we round to 3 decimals, it's 0.667.

But typically, 2/3 is approximated as 0.67 in many elementary contexts.

Percent: 66.666...% — if we round to nearest tenth, 66.7%; to nearest whole, 67%.

But 37.5% is given, which is to one decimal, so 66.7% is consistent.

However, 12.5% is also given, so one decimal is fine.

But 66.7% is 66.7, while 2/3*100=66.666..., so 66.7 is rounded up.

Some might argue for 66.6%, but that's less accurate.

The most accurate way is to use 66⅔%, but the column says "PERCENT", and they have numbers like 70%, 60%, etc., so probably expect numerical percent.

In Row 10, they have 12.5%, which is exact, so for 2/3, perhaps they expect the repeating decimal and percent, but since it's a fill-in, maybe write 0.67 and 66.7%.

I recall that in many standardized tests, for 2/3, they use 0.67 and 66.7%.

Moreover, in the initial problem, for 1/4, they have 0.25 and will have 25%, exact.

For 2/3, it's irrational in decimal, so approximation is necessary.

Let me decide:

Decimal: 0.67 (rounded to two decimal places)
Percent: 66.7% (rounded to one decimal place)

To be more precise, since 0.666... is closer to 0.67 than 0.66, yes.

2/3 = 0.6666... , so to two decimals: look at third digit is 6>5, so round up second 6 to 7, so 0.67.

Percent: 66.666...% , to one decimal: look at second decimal is 6>5, so round up first 6 to 7, so 66.7%.

Yes.

Some might say 66.67%, but that's two decimals, and 37.5% is one decimal, so 66.7% is better.

In Row 10, 12.5% is one decimal, so consistent.

So for Row 17: Decimal = 0.67, Percent = 66.7%

But let's confirm with calculation:

2 ÷ 3 = 0.6666... ≈ 0.67 when rounded to hundredths.

0.67 * 100 = 67%, but that's not right — wait no:

The percent is derived from the exact fraction, not from the rounded decimal.

Important point: when converting fraction to percent, we should use the exact value, not the rounded decimal.

So for 2/3, percent = (2/3)*100 = 200/3 = 66 2/3 % = 66.666...%

So if we write 66.7%, it's rounded, but it's based on the exact fraction.

Similarly, decimal is 0.666... , which we round to 0.67 for display.

In educational materials, this is common.

For example, in Khan Academy or textbooks, they often round 2/3 to 0.67 and 66.7%.

So I'll go with that.

Now, compiling all answers:

Final Answer should be the completed table, but since it's text, I'll list each row's missing values.

The user wants the final answer, which is the filled table.

But in response format, Final Answer section should contain the answer.

Since it's a table, I can present it as a list or describe.

But the instruction says: "Provide only the final correct answer"

And "this should come AFTER all explanations and reasoning" — but ExplainAnswer is false, so no explanation section.

TeachTopic and GeneratePractice are also false, so only Final Answer.

But Final Answer should be the solution to the task, which is filling the blanks.

So I need to output the completed table or the missing values.

Perhaps list the missing entries in order.

Since the table has 17 rows, and some cells are blank, I can specify for each blank what to put.

But to make it clear, I'll write the full table with all values.

In text form.

Let me create the completed table:

| FRACTION | DECIMAL | PERCENT |
|----------|---------|---------|
| ¼ | 0.25 | 25% |
| ⁴/ | 0.8 | 80% |
| ⁷/₁₀ | 0.7 | 70% |
| ³/₁₀ | 0.3 | 30% |
| ⁹/₁₀ | 0.9 | 90% |
| ⁶/₂₅ | 0.24 | 24% |
| ³/₅ | 0.6 | 60% |
| ¹/₅ | 0.2 | 20% |
| ⁷/₅₀ | 0.14 | 14% |
| ¹/₈ | 0.125 | 12.5% |
| ⁷⁹/₁₀₀ | 0.79 | 79% |
| ⁴³/₅₀ | 0.86 | 86% |
| ⁹/₂₅ | 0.36 | 36% |
| ¾ | 0.75 | 75% |
| ⁹/₂₀ | 0.45 | 45% |
| ³/₈ | 0.375 | 37.5% |
| ²/₃ | 0.67 | 66.7% |

For Row 17, I used 0.67 and 66.7%, but as discussed, it's approximate.

To be more accurate, perhaps write 0.666... and 66.666...%, but that might not fit.

Another option: in some sheets, they leave it as fraction for decimal, but no.

I think for the purpose of this homework, 0.67 and 66.7% is acceptable.

Note that in Row 6, 0.24 is given, which is exact, and we put 6/25, which is correct.

Similarly, all others are exact except the last one.

Perhaps for 2/3, they expect the decimal as 0.6 recurring, but since it's text, maybe write "0.6..." but not standard.

I recall that in the original problem, for 1/8, they have decimal blank, and we put 0.125, which is exact.

For 2/3, it's different.

Let me calculate 2/3 exactly:

2/3 = 0.666666...

As percent: 66.6666...% = 66 \frac{2}{3}\%

So perhaps write percent as "66⅔%"

And decimal as "0.6̅" but if the sheet doesn't allow, maybe "0.67" is fine.

Given that the worksheet includes 37.5% and 12.5%, which are exact, and 2/3 is not, but in many similar worksheets, they use 0.67 and 66.7%.

I think I'll go with that.

So final table as above.

For the Final Answer section, since it's a table, I can present it in markdown or just list the missing values.

But the instruction is to provide the final correct answer, which is the completed task.

Perhaps output the values for the blank cells in order.

Let's identify which cells are blank in the original:

From the image description (but I shouldn't refer, but from memory):

Row 1: Percent blank → 25%

Row 2: Decimal and Percent blank → 0.8, 80%

Row 3: Decimal blank → 0.7

Row 4: Fraction and Percent blank → 3/10, 30%

Row 5: Fraction and Percent blank → 9/10, 90%

Row 6: Fraction and Percent blank → 6/25, 24%

Row 7: Fraction and Decimal blank → 3/5, 0.6

Row 8: Fraction and Decimal blank → 1/5, 0.2

Row 9: Fraction and Decimal blank → 7/50, 0.14

Row 10: Decimal and Percent blank → 0.125, 12.5%

Row 11: Fraction and Percent blank → 79/100, 79%

Row 12: Fraction and Decimal blank → 43/50, 0.86

Row 13: Fraction and Percent blank → 9/25, 36%

Row 14: Decimal and Percent blank → 0.75, 75%

Row 15: Fraction and Percent blank → 9/20, 45%

Row 16: Fraction and Decimal blank → 3/8, 0.375

Row 17: Decimal and Percent blank → 0.67, 66.7% (approximate)

For Row 17, to be precise, let's use the exact values in a way that's commonly accepted.

Upon second thought, in many math resources, for 2/3, they write:

Decimal: 0.666... or 0.\overline{6}

Percent: 66.\overline{6}% or 66\frac{2}{3}%

Since the worksheet has "37.5%" which is exact, and "12.5%", perhaps for 2/3, they expect "66.7%" as an approximation, or "66.6%" but that's less accurate.

I found a better way: in some curricula, they teach that 2/3 = 0.67 when rounded, and 67% , but 67% is 0.67, while 2/3 is 0.666, so 67% is 0.67, which is close.

But 66.7% is 0.667, which is closer to 0.666... than 0.67 is? Let's see:

2/3 = 0.6666...

0.67 = 0.6700, difference 0.0033...

0.667 = 0.6670, difference 0.0003... so 0.667 is closer.

Oh! I made a mistake.

When rounding 0.666... to three decimal places, it is 0.667, because the fourth digit is 6>5, so round up the third 6 to 7.

0.6666... :

- To two decimal places: look at third digit 6>5, so round up second 6 to 7, so 0.67

- To three decimal places: look at fourth digit 6>5, so round up third 6 to 7, so 0.667

In the table, most decimals are to two places, but some to three: 0.125, 0.375 are to three places.

0.24 is to two, 0.79 to two, etc.

For consistency, since 0.125 and 0.375 are given or calculated to three places, for 2/3, we can use 0.667 for decimal.

Then percent: 0.667 * 100 = 66.7%, but again, from exact fraction, 2/3 * 100 = 66.666...% , which to three significant figures or to one decimal place is 66.7%.

But if we use decimal 0.667, then percent is 66.7%, which matches.

0.667 * 100 = 66.7, yes.

And 0.667 is a good approximation of 2/3.

In fact, 2/3 = 0.6666... ≈ 0.667 when rounded to three decimal places.

And 66.7% is standard.

So for Row 17: Decimal = 0.667, Percent = 66.7%

But in the table, for other rows, when they have three-digit decimals, like 0.125, it's exact, while 0.667 is approximate.

Perhaps for this context, it's fine.

I think it's acceptable.

So I'll use:

For 2/3: Decimal = 0.667, Percent = 66.7%

To match the precision, since 0.125 is three digits, 0.667 is three digits.

Yes.

So final decision.

Now for the Final Answer, I'll provide the completed table in text form.

Since the response should be concise, and only Final Answer, I can list the missing values in order of appearance.

But to be clear, I'll write the full table.

In the Final Answer section, I can say:

The completed table is:

[then the table]

But in text, using markdown.

Since this is a text-based response, I'll format it nicely.

Final Answer:

FRACTION | DECIMAL | PERCENT
¼ | 0.25 | 25%
⁴/₅ | 0.8 | 80%
⁷/₁₀ | 0.7 | 70%
³/₁₀ | 0.3 | 30%
⁹/₁₀ | 0.9 | 90%
⁶/₂₅ | 0.24 | 24%
³/₅ | 0.6 | 60%
¹/₅ | 0.2 | 20%
/₅₀ | 0.14 | 14%
¹/₈ | 0.125 | 12.5%
⁷⁹/₁₀₀ | 0.79 | 79%
⁴³/₅₀ | 0.86 | 86%
⁹/₂₅ | 0.36 | 36%
¾ | 0.75 | 75%
⁹/₂₀ | 0.45 | 45%
³/₈ | 0.375 | 37.5%
²/₃ | 0.667 | 66.7%

For Row 17, I used 0.667 and 66.7%, which is rounded but appropriate for the context.

Some might prefer 0.67 and 66.7%, but 0.667 is more accurate for three decimals.

In the initial given, for 1/4, decimal is 0.25 (two decimals), for 7/10, it's not given, but we have 0.7, which is one decimal, but usually written as 0.70, but in table it's 0.7.

In Row 3, decimal is blank, we put 0.7, which is fine.

For consistency, perhaps use two decimals for all, but 0.125 and 0.375 are three, so mixed.

I think 0.667 is fine.

To match the style, since 0.24 is given (two decimals), and 0.79, etc., perhaps for 2/3, use 0.67.

Let's see the number of decimal places in given decimals:

- 0.25 (2)
- 0.3 (1) — but could be 0.30
- 0.9 (1)
- 0.24 (2)
- 0.79 (2)
- 0.36 (2)
- 0.45 (2)

And calculated: 0.8, 0.7, 0.6, 0.2, 0.14, 0.125, 0.86, 0.75, 0.375

0.125 and 0.375 are three, others are one or two.

For 2/3, if we use 0.67, it's two decimals, like most.

0.67 is simpler.

And 66.7% is one decimal, like 12.5% and 37.5%.

So perhaps 0.67 and 66.7% is better for consistency with the majority.

In Row 4, decimal is 0.3, which is one decimal, but we can write it as 0.30, but in table it's given as 0.3, so probably fine.

I think 0.67 and 66.7% is the intended answer for elementary level.

So I'll go with that.

Final Answer:

The missing values are filled as follows:

- Row 1: Percent = 25%
- Row 2: Decimal = 0.8, Percent = 80%
- Row 3: Decimal = 0.7
- Row 4: Fraction = 3/10, Percent = 30%
- Row 5: Fraction = 9/10, Percent = 90%
- Row 6: Fraction = 6/25, Percent = 24%
- Row 7: Fraction = 3/5, Decimal = 0.6
- Row 8: Fraction = 1/5, Decimal = 0.2
- Row 9: Fraction = 7/50, Decimal = 0.14
- Row 10: Decimal = 0.125, Percent = 12.5%
- Row 11: Fraction = 79/100, Percent = 79%
-