Worksheet for practicing conversions between fractions, decimals, and percents.

Let’s solve this step by step. We need to convert between fractions, decimals, and percents for each row in the table.

Remember:
- To turn a fraction into a decimal, divide the top number (numerator) by the bottom number (denominator).
- To turn a decimal into a percent, multiply by 100 and add the % sign.
- To turn a percent into a decimal, divide by 100.
- To turn a percent or decimal into a fraction, write it over 100 (or powers of 10) and simplify.

We’ll go row by row, left table first, then right table.

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Left Table:

Row 1: Fraction = 3/7
→ Decimal: 3 ÷ 7 ≈ 0.4286 → round to 0.429 (but let’s keep more digits for accuracy if needed; we’ll use 0.4286)
→ Percent: 0.4286 × 100 = 42.86% → usually rounded to 42.9% or kept as fraction percent? But since others are exact, maybe leave as decimal approx. Actually, 3/7 is repeating: 0.428571... so we can write 0.4286 or 42.86%. But looking at other answers, they seem to expect simplified forms. Let’s calculate precisely.

Actually, better to do exact conversions where possible.

But 3/7 doesn’t simplify nicely — so we’ll use decimal approximation to 3 or 4 places.

Wait — looking at the table, some percents are mixed numbers like 33 1/2%, so maybe we should express exactly when possible.

But 3/7 is irrational in decimal? No, it’s rational but repeating. So perhaps we write decimal as 0.4286 and percent as 42.86% — but let’s check standard practice. In school worksheets, often they expect rounding to 3 decimal places for decimals and 1 or 2 for percents.

Looking at given values: 0.5, 0.77, 0.26, etc. — so probably 2 or 3 decimal places.

Similarly, percents like 28.8%, 32.5%, so one decimal place sometimes.

I think for consistency, we’ll compute accurately and round appropriately.

Let me make a plan:

For each blank:

If fraction is given → divide to get decimal → multiply by 100 for percent.

If decimal is given → multiply by 100 for percent → convert to fraction by writing over 10, 100, 1000 and simplifying.

If percent is given → divide by 100 for decimal → convert to fraction by writing over 100 and simplifying.

Also, for mixed number percents like 33 1/2%, that means 33.5%, so decimal is 0.335, fraction is 335/1000 = 67/200? Wait no:

33 1/2 % = 33.5% = 33.5 / 100 = 335/1000 = 67/200? Let's see: 335 ÷ 5 = 67, 1000 ÷ 5 = 200, yes. But actually, 33 1/2 % is also equal to 1/3? No, 1/3 is about 33.333%, not 33.5%.

33 1/2 % = 67/2 %, which is 67/200 as a fraction? Let's clarify:

Percent means per hundred, so 33 1/2 % = (33 + 1/2)/100 = (67/2)/100 = 67/(2*100) = 67/200.

Yes.

Similarly, 88 2/3 % = (88 + 2/3)/100 = (266/3)/100 = 266/300 = 133/150.

Okay, let's start filling.

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Left Table Row by Row:

Row 1: Fraction = 3/7
Decimal: 3 ÷ 7 = 0.428571... ≈ 0.429 (rounded to 3 decimal places)
Percent: 0.428571 * 100 = 42.8571...% ≈ 42.9%
But let's see what the worksheet expects. Since other percents have one decimal, maybe 42.9%. Or perhaps leave as fraction? No, the column says "Percent", so likely decimal percent.

Actually, looking ahead, there's 33 1/2 %, which is exact, so for 3/7, it's not nice, so we'll use approximate.

But let's calculate all and see.

Perhaps I should do exact fractions where possible.

Another idea: for 3/7, decimal is non-terminating, so we write 0.4286 or something. But let's proceed with calculation.

I recall that in such tables, they might expect the decimal to be written as is, and percent similarly.

Let me list all rows with calculations.

To save time, I'll compute each missing value carefully.

Start with Left Table:

Row 1: Frac=3/7
Dec = 3÷7 = 0.428571... → typically rounded to 0.429
Per = 42.857...% → 42.9%

But let's check if the worksheet has any clue. The given decimal 0.5 is exact, 0.77 is given, which is 77/100, so perhaps they want exact where possible.

For 3/7, it's not exact decimal, so we have to approximate.

Similarly, 9/17 later.

So I'll use 3 decimal places for decimals, and 1 decimal place for percents unless it's a mixed number.

In the table, percents like 28.8%, 32.5%, so one decimal place is fine.

For 33 1/2 %, it's written as mixed number, so we keep it as is when given.

So for Row 1:

Frac: 3/7
Dec: 0.429 (since 3/7 = 0.42857..., rounds to 0.429)
Per: 42.9% (0.429 * 100 = 42.9)

But 0.42857*100 = 42.857, which rounds to 42.9% if to one decimal place.

Yes.

Row 2: Dec = 0.5
Frac: 0.5 = 5/10 = 1/2
Per: 0.5 * 100 = 50%

Row 3: Frac = 5/8
Dec: 5÷8 = 0.625
Per: 0.625 * 100 = 62.5%

Row 4: Per = 33 1/2 % = 33.5%
Dec: 33.5 / 100 = 0.335
Frac: 33.5/100 = 335/1000 = 67/200 (divide numerator and denominator by 5)

Row 5: Dec = 0.77
Frac: 0.77 = 77/100 (already simplified)
Per: 0.77 * 100 = 77%

Row 6: Per = 88 2/3 %
First, 88 2/3 = 266/3 %
As decimal: (266/3)/100 = 266/300 = 133/150 ≈ 0.88666...
Better: 88 2/3 % = 88.666...%
Dec: 88.666... / 100 = 0.88666... ≈ 0.887 (rounded to 3 decimals)
Frac: as above, 133/150? Let's confirm:
88 2/3 % = (88 + 2/3)/100 = (266/3)/100 = 266/300 = 133/150
Yes, 133 and 150 divisible by... 133÷7=19, 150÷ not 7, gcd is 1? 133=7*19, 150=2*3*5^2, no common factors, so 133/150.

But is that simplified? Yes.

Row 7: Frac = 9/5
Dec: 9÷5 = 1.8
Per: 1.8 * 100 = 180%

Row 8: Frac = 6/15
Simplify first: 6/15 = 2/5
Dec: 2÷5 = 0.4
Per: 0.4 * 100 = 40%

Row 9: Dec = 0.26
Frac: 0.26 = 26/100 = 13/50
Per: 0.26 * 100 = 26%

Row 10: Per = 32.5%
Dec: 32.5 / 100 = 0.325
Frac: 32.5/100 = 325/1000 = 13/40 (divide by 25: 325÷25=13, 1000÷25=40)

Row 11: Dec = 0.625
Frac: 0.625 = 625/1000 = 5/8 (divide by 125)
Per: 0.625 * 100 = 62.5%

Now Right Table:

Row 1: Frac = 9/17
Dec: 9÷17 ≈ 0.5294 → 0.529
Per: 52.94% → 52.9%

Row 2: Dec = 0.067
Frac: 0.067 = 67/1000 (since 0.067 = 67 thousandths)
Is it simplified? 67 is prime, 1000 not divisible by 67, so 67/1000
Per: 0.067 * 100 = 6.7%

Row 3: Per = 28.8%
Dec: 28.8 / 100 = 0.288
Frac: 28.8/100 = 288/1000 = 36/125 (divide by 8: 288÷8=36, 1000÷8=125; 36 and 125 coprime)

Row 4: Frac = 3/8
Dec: 3÷8 = 0.375
Per: 37.5%

Row 5: Dec = 0.925
Frac: 0.925 = 925/1000 = 37/40 (divide by 25: 925÷25=37, 1000÷25=40)
Per: 92.5%

Row 6: Per = 37 2/5 %
37 2/5 = 37.4%
Dec: 37.4 / 100 = 0.374
Frac: 37.4/100 = 374/1000 = 187/500 (divide by 2)

Row 7: Frac = 11/18
Dec: 11÷18 ≈ 0.6111 → 0.611
Per: 61.11...% → 61.1%

Row 8: Dec = 0.75
Frac: 0.75 = 75/100 = 3/4
Per: 75%

Row 9: Frac = 7/9
Dec: 7÷9 ≈ 0.777... → 0.778 (rounded)
Per: 77.777...% → 77.8%

Row 10: Dec = 0.815
Frac: 0.815 = 815/1000 = 163/200 (divide by 5)
Per: 81.5%

Row 11: Per = 66.5%
Dec: 66.5 / 100 = 0.665
Frac: 66.5/100 = 665/1000 = 133/200 (divide by 5)

Now, let's compile all answers in order.

I need to fill the table as per the blanks.

Since the user didn't specify which cell, but the task is to fill all missing, I'll provide the completed table values.

But for the final answer, since it's a table, I should list the missing values in order or present the full table.

The instruction is to solve the problem, so I'll provide the filled values for each blank.

To make it clear, I'll list the rows with the missing parts filled.

But perhaps for the final answer, since it's a table, I can write the values row by row.

Given that, I'll create two lists: one for left table missing values, one for right, but better to present the entire filled table conceptually.

Since the output should be the final answer, and it's multiple values, I'll list them in the order they appear in the table, left to right, top to bottom, for both tables.

Let me define the sequence.

Left Table has 11 rows, each with 3 columns, but some are given.

Similarly right table 11 rows.

But to avoid confusion, I'll provide the missing values for each cell that was blank.

Perhaps it's easier to state the completed table.

But for the response, I'll write the values that were missing.

Let me go row by row for left table and note what was missing.

Left Table:

Row 1: Given frac 3/7, missing dec and per → dec=0.429, per=42.9%

But earlier I said 0.4286, but let's use consistent rounding.

Actually, in many textbooks, for 3/7, they might write 0.4286 or 0.429. Let's calculate exactly.

3 divided by 7 is 0.428571..., so to three decimal places, it's 0.429 (since 8>5, round up 8 to 9? 0.428571, the fourth digit is 5, so round up the third digit from 8 to 9? Standard rounding: look at fourth digit, which is 5, so round up.

0.428571: digits after decimal: 4 (tenths), 2 (hundredths), 8 (thousandths), 5 (ten-thousandths). To round to three decimal places, look at fourth digit: 5, so round up the third digit: 8 becomes 9, so 0.429.

Similarly, percent: 0.428571 * 100 = 42.8571%, to one decimal place: look at second decimal of percent, which is 5, so round up 8 to 9? 42.8571%, the first decimal is 8, second is 5, so for one decimal place, look at second decimal: 5, so round up first decimal from 8 to 9, so 42.9%.

Yes.

Similarly for others.

So let's finalize all with proper rounding.

Left Table:

Row 1: Frac=3/7, Dec=0.429, Per=42.9%

Row 2: Frac=1/2, Dec=0.5, Per=50% [given dec, so frac and per missing]

Row 3: Frac=5/8, Dec=0.625, Per=62.5% [given frac, so dec and per missing]

Row 4: Frac=67/200, Dec=0.335, Per=33 1/2% [given per, so frac and dec missing]

Row 5: Frac=77/100, Dec=0.77, Per=77% [given dec, so frac and per missing]

Row 6: Frac=133/150, Dec=0.887, Per=88 2/3% [given per, so frac and dec missing; dec: 88 2/3 % = 88.666.../100 = 0.88666..., to three decimals: 0.887 (since fourth digit 6>5, round up)]

0.88666..., third decimal is 6, fourth is 6, so to three decimals, it's 0.887.

Percent is given as mixed number, so we keep it.

Row 7: Frac=9/5, Dec=1.8, Per=180% [given frac, so dec and per missing]

Row 8: Frac=6/15=2/5, but usually simplify, so 2/5, Dec=0.4, Per=40% [given frac, but it's 6/15, which simplifies to 2/5, so in fraction column, should we write simplified? Probably yes, as standard practice. The given is 6/15, but when filling, for other rows, we simplify. In row 8, fraction is given as 6/15, but for the answer, when we fill missing, for this row, dec and per are missing, so we calculate from 6/15 or 2/5? Same thing. But in the fraction column, it's already given as 6/15, so for missing cells, we don't change it. For row 8, fraction is given, so we only fill dec and per.

In the table, for row 8, fraction is given as 6/15, so we use that to find dec and per.

6/15 = 0.4, 40%, as above.

But when we fill the fraction for other rows, we simplify.

For example, in row 2, we have to fill fraction for dec 0.5, which is 1/2, not 5/10.

Similarly, row 9, dec 0.26, frac 13/50.

So for consistency, when filling fraction, we simplify.

But for row 8, fraction is given as 6/15, so we leave it as is in the table, but for calculation, it's fine.

In the answer, for the missing cells, we provide the values.

For row 8, missing are dec and per, so 0.4 and 40%.

Similarly.

Row 9: Frac=13/50, Dec=0.26, Per=26% [given dec, so frac and per missing]

Row 10: Frac=13/40, Dec=0.325, Per=32.5% [given per, so frac and dec missing]

Row 11: Frac=5/8, Dec=0.625, Per=62.5% [given dec, so frac and per missing]

Now Right Table:

Row 1: Frac=9/17, Dec=0.529, Per=52.9% [9÷17=0.529411..., to three decimals 0.529; per 52.9411...% to one decimal 52.9%]

Row 2: Frac=67/1000, Dec=0.067, Per=6.7% [given dec, so frac and per missing]

Row 3: Frac=36/125, Dec=0.288, Per=28.8% [given per, so frac and dec missing; 28.8/100=0.288, frac 288/1000=36/125]

Row 4: Frac=3/8, Dec=0.375, Per=37.5% [given frac, so dec and per missing]

Row 5: Frac=37/40, Dec=0.925, Per=92.5% [given dec, so frac and per missing; 0.925=925/1000=37/40]

Row 6: Frac=187/500, Dec=0.374, Per=37 2/5% [given per, so frac and dec missing; 37 2/5 = 37.4%, dec=0.374, frac=374/1000=187/500]

Row 7: Frac=11/18, Dec=0.611, Per=61.1% [11÷18=0.6111..., to three decimals 0.611; per 61.111...% to one decimal 61.1%]

Row 8: Frac=3/4, Dec=0.75, Per=75% [given dec, so frac and per missing]

Row 9: Frac=7/9, Dec=0.778, Per=77.8% [7÷9=0.777..., to three decimals 0.778; per 77.777...% to one decimal 77.8%]

Row 10: Frac=163/200, Dec=0.815, Per=81.5% [given dec, so frac and per missing; 0.815=815/1000=163/200]

Row 11: Frac=133/200, Dec=0.665, Per=66.5% [given per, so frac and dec missing; 66.5/100=0.665, frac=665/1000=133/200]

Now, for the final answer, since the task is to fill in the missing values, I need to provide those.

Perhaps I can list the missing values in the order of the table.

To make it clear, I'll present the completed table values for the blanks.

Since it's a bit long, but for the response, I'll write the values that were missing, row by row.

For the Final Answer section, I'll provide the filled values.

Let me create a list.

First, Left Table missing cells:

- Row 1: Decimal = 0.429, Percent = 42.9%

- Row 2: Fraction = \frac{1}{2}, Percent = 50\%

- Row 3: Decimal = 0.625, Percent = 62.5\%

- Row 4: Fraction = \frac{67}{200}, Decimal = 0.335

- Row 5: Fraction = \frac{77}{100}, Percent = 77\%

- Row 6: Fraction = \frac{133}{150}, Decimal = 0.887

- Row 7: Decimal = 1.8, Percent = 180\%

- Row 8: Decimal = 0.4, Percent = 40\% (fraction is given as 6/15, but we don't fill it)

- Row 9: Fraction = \frac{13}{50}, Percent = 26\%

- Row 10: Fraction = \frac{13}{40}, Decimal = 0.325

- Row 11: Fraction = \frac{5}{8}, Percent = 62.5\%

Right Table missing cells:

- Row 1: Decimal = 0.529, Percent = 52.9\%

- Row 2: Fraction = \frac{67}{1000}, Percent = 6.7\%

- Row 3: Fraction = \frac{36}{125}, Decimal = 0.288

- Row 4: Decimal = 0.375, Percent = 37.5\%

- Row 5: Fraction = \frac{37}{40}, Percent = 92.5\%

- Row 6: Fraction = \frac{187}{500}, Decimal = 0.374

- Row 7: Decimal = 0.611, Percent = 61.1\%

- Row 8: Fraction = \frac{3}{4}, Percent = 75\%

- Row 9: Decimal = 0.778, Percent = 77.8\%

- Row 10: Fraction = \frac{163}{200}, Percent = 81.5\%

- Row 11: Fraction = \frac{133}{200}, Decimal = 0.665

In the table, for row 8 left, fraction is given as 6/15, so when we fill, we don't change it, but for the missing cells, we provide dec and per.

Similarly, for row 6 left, percent is given as 88 2/3%, so we keep it, and fill frac and dec.

In the answer, for the fraction in row 6 left, I have 133/150, which is correct.

Now for the final answer, since it's a lot, perhaps I can box the entire set, but I think for the response, I'll write it as a summary.

Since the user might expect the values, I'll provide them in a structured way.

For the Final Answer section, I'll list the missing values in order.

To save space, I can say the completed table has the following values for the blanks, but perhaps it's fine.

Another idea: since the worksheet is standard, and my calculations are correct, I'll proceed to write the final answer as the filled values.

But to adhere to the format, I'll put the key results.

Perhaps for this type of problem, the final answer is the set of filled cells.

I think I've done the reasoning, now for Final Answer, I'll provide the values.

Let me write it as:

The missing values are:

Left Table:
- Row 1: Decimal: 0.429, Percent: 42.9%
- Row 2: Fraction: \frac{1}{2}, Percent: 50%
- Row 3: Decimal: 0.625, Percent: 62.5%
- Row 4: Fraction: \frac{67}{200}, Decimal: 0.335
- Row 5: Fraction: \frac{77}{100}, Percent: 77%
- Row 6: Fraction: \frac{133}{150}, Decimal: 0.887
- Row 7: Decimal: 1.8, Percent: 180%
- Row 8: Decimal: 0.4, Percent: 40%
- Row 9: Fraction: \frac{13}{50}, Percent: 26%
- Row 10: Fraction: \frac{13}{40}, Decimal: 0.325
- Row 11: Fraction: \frac{5}{8}, Percent: 62.5%

Right Table:
- Row 1: Decimal: 0.529, Percent: 52.9%
- Row 2: Fraction: \frac{67}{1000}, Percent: 6.7%
- Row 3: Fraction: \frac{36}{125}, Decimal: 0.288
- Row 4: Decimal: 0.375, Percent: 37.5%
- Row 5: Fraction: \frac{37}{40}, Percent: 92.5%
- Row 6: Fraction: \frac{187}{500}, Decimal: 0.374
- Row 7: Decimal: 0.611, Percent: 61.1%
- Row 8: Fraction: \frac{3}{4}, Percent: 75%
- Row 9: Decimal: 0.778, Percent: 77.8%
- Row 10: Fraction: \frac{163}{200}, Percent: 81.5%
- Row 11: Fraction: \frac{133}{200}, Decimal: 0.665

In row 8 left, decimal is 0.4, which is correct for 6/15.

And for row 11 left, fraction is 5/8, which is correct for 0.625.

Now, I think this is accurate.

For the Final Answer, since it's lengthy, but I have to provide it, I'll box this summary.

Perhaps in the context, it's acceptable.

So, proceeding.