Practice worksheet for converting between percent, fraction, and decimal values.

Let's solve each question in the worksheet step by step and explain the reasoning behind each answer. The goal is to convert between percent, fraction, and decimal forms.

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1) 29%

We need to find which option represents 29%.

- A) $ \frac{10}{10} = 1 $ → 100%, not 29%
- B) 0.029 → This is 2.9%, too small
- C) 2.9 → This is 290%, too big
- D) $ \frac{29}{100} = 0.29 $ → This is 29%

✔ Answer: D) $ \frac{29}{100} $

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2) 0.3

Convert 0.3 to percent or fraction.

- A) $ \frac{3}{10} = 0.3 $ → Yes!
- B) 25% = 0.25 → No
- C) $ \frac{3}{10} $ again? Wait — it's listed twice? Let’s check:

Wait — options:
A) $ \frac{3}{10} $
B) 25%
C) $ \frac{3}{10} $ ← duplicate? Probably typo.

But both A and C are $ \frac{3}{10} $. But let's assume only one is correct.

Actually, looking at the image:
A) $ \frac{3}{10} $
B) 25%
C) $ \frac{3}{10} $ ← same as A? That can't be.

Wait — maybe it's a typo. Let me recheck:

Possibly:
A) $ \frac{3}{10} $
B) 25%
C) $ \frac{3}{10} $ → duplicate?

No — perhaps it's meant to be:
C) $ \frac{3}{100} $? But it says $ \frac{3}{10} $

Wait — maybe the options are:
A) $ \frac{3}{10} $
B) 25%
C) $ \frac{3}{10} $ → same as A?
D) 50%

That doesn’t make sense. Perhaps the original has a typo.

But since 0.3 = $ \frac{3}{10} $, and that's option A and C, but likely only one is correct.

Assuming no typo, and both A and C are $ \frac{3}{10} $, then both would be correct — but we must pick one.

Alternatively, maybe it's supposed to be:
C) $ \frac{3}{100} $? But it's written as $ \frac{3}{10} $

Wait — actually, in your image, it says:
> 2) 0.3
> A) $ \frac{3}{10} $
> B) 25%
> C) $ \frac{3}{10} $
> D) 50%

So both A and C are $ \frac{3}{10} $? That’s strange.

But 0.3 = $ \frac{3}{10} $ = 30%, so:

- A) $ \frac{3}{10} $ = 0.3 ✔
- B) 25% = 0.25 ✘
- C) $ \frac{3}{10} $ = 0.3 ✔
- D) 50% = 0.5 ✘

So both A and C are correct — but probably a duplication error.

But if we must choose one, and assuming it's a typo, likely A or C is intended.

But let’s assume A is correct.

✔ Answer: A) $ \frac{3}{10} $

(Though this seems like a typo — possibly C should be $ \frac{3}{100} $)

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3) $ \frac{3}{5} $

Convert $ \frac{3}{5} $ to decimal or percent.

$ \frac{3}{5} = 0.6 = 60\% $

Now check options:
A) 0.4 → 40% ✘
B) 45% ✘
C) 80% ✘
D) 0.44 → 44% ✘

None match exactly.

Wait — $ \frac{3}{5} = 0.6 $, but none of the options are 0.6 or 60%.

But wait — let’s recalculate:

$ \frac{3}{5} = 0.6 $

Options:
A) 0.4
B) 45%
C) 80%
D) 0.44

None are 0.6 or 60%. So what's going on?

Wait — maybe I misread.

Is it $ \frac{3}{5} $ or $ \frac{4}{5} $? No, it says $ \frac{3}{5} $

But none of the options are correct?

Wait — unless there's a typo in the problem.

But perhaps the question is asking: Which represents $ \frac{3}{5} $?

Then:
- $ \frac{3}{5} = 0.6 = 60\% $

But options are:
A) 0.4
B) 45%
C) 80%
D) 0.44

None match.

Wait — maybe the number is $ \frac{4}{5} $? Then 0.8 or 80% → C) 80% ✔

But it says $ \frac{3}{5} $

Hmm.

Alternatively, maybe the question is which is equal to $ \frac{3}{5} $?

Then none are correct.

But let’s double-check: $ \frac{3}{5} = 0.6 $

Is 0.44 close? No.

Wait — maybe the question is different.

Wait — perhaps the image shows $ \frac{4}{5} $? Let me re-read.

You wrote:
> 3) $ \frac{3}{5} $

Yes.

But 0.6 is not among options.

Unless option D is 0.6? But it says 0.44.

This suggests a mistake in the worksheet.

But let’s suppose it’s $ \frac{4}{5} $, then $ \frac{4}{5} = 0.8 = 80\% $ → C) 80% ✔

But you said $ \frac{3}{5} $

Alternatively, maybe it’s $ \frac{2}{5} = 0.4 $ → A) 0.4 ✔

But it's $ \frac{3}{5} $

So unless there’s a typo, no correct answer.

But let’s move on — perhaps I’ll come back.

Wait — maybe the question is which represents $ \frac{3}{5} $? and the options are:

A) 0.4
B) 45%
C) 80%
D) 0.44

Still no.

Wait — could it be $ \frac{3}{5} = 60\% $, but not listed.

Perhaps the answer is none, but since it's multiple choice, maybe it's a typo.

Alternatively, maybe the number is $ \frac{2}{5} $ → 0.4 → A) 0.4 ✔

But you said $ \frac{3}{5} $

I think there’s an error.

But let’s skip and come back.

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4) $ \frac{51}{100} $

This is 0.51 or 51%

Options:
A) $ \frac{51}{100} $ → yes!
B) 0.51 → yes!
C) $ \frac{51}{10} = 5.1 $ → no
D) 5.1 → no

So both A and B are correct.

But since it's multiple choice, likely they want one.

But A is $ \frac{51}{100} $, which is the same as given.

So A) is directly matching.

But B) 0.51 is also correct.

But the question says: “Choose the best option that represents the number”

Given $ \frac{51}{100} $, the best representation is itself: A)

But B) is also correct.

But since A is the exact form, and matches, likely A is preferred.

Alternatively, if the question is asking for decimal, then B.

But since input is fraction, output should be equivalent.

But both A and B are correct.

But likely, A) is the direct match.

✔ Answer: A) $ \frac{51}{100} $

(Or B) 0.51 — but A is better because it's identical)

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5) 43%

Convert to decimal or fraction.

43% = 0.43 or $ \frac{43}{100} $

Options:
A) 43% → same as given, but is it an option?
B) 4.3 → 430% ✘
C) $ \frac{4}{100} = 0.04 $ ✘
D) 0.43 → yes!

So D) 0.43 = 43% ✔

A) is 43% — but that’s the same as the input, so if the question is “which represents 43%”, then A is trivially correct.

But likely, they want equivalent form, so D) 0.43 is the decimal.

But A) is the same.

But if the question is: “Which represents 43%?” and A is “43%”, then it's correct.

But usually, such questions ask for different form.

But here, A is the same.

So possible answers: A or D.

But D is the decimal.

But since the input is percent, and A is same, maybe D is better.

But let’s see:

If the number is 43%, and we’re to choose which represents it, then:

- A) 43% → same → correct
- B) 4.3 → no
- C) $ \frac{4}{100} = 0.04 $ → no
- D) 0.43 → yes

So both A and D are correct.

But if we have to pick one, and A is the same, D is the decimal.

But since the question says "represents the number", and 43% is the number, then A is the most direct.

But often, they expect conversion.

But in this case, D) 0.43 is the standard decimal equivalent.

✔ Answer: D) 0.43

(Though A is also correct, but likely D is expected)

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6) 7.5

Convert 7.5 to percent or fraction.

7.5 = 7.5

As percent: 7.5 = 750% → not listed

As fraction: $ \frac{75}{10} = \frac{15}{2} $, but not listed

Options:
A) 75% = 0.75 → no
B) 79% → no
C) 0.075 → 0.075 = 7.5% → no
D) 70% → no

Wait — 7.5 is a number.

But options are percentages or decimals.

7.5 = 7.5

But 0.075 is much smaller.

Wait — 7.5 = 750% → not listed

7.5 = $ \frac{15}{2} $ → not listed

But look: C) 0.075 → that's 7.5% — not 7.5

So none match?

Wait — unless the number is 7.5%

But it says 7.5

So 7.5 as a number.

But options are:
A) 75% = 0.75 → no
B) 79% → no
C) 0.075 → no
D) 70% → no

All are percentages or decimals less than 1.

But 7.5 is greater than 1.

So none match.

Unless it's 7.5%, then 7.5% = 0.075 → C) 0.075 ✔

But the number is written as 7.5, not 7.5%

So likely, the number is 7.5, which is 7.5

But no option is 7.5

So again, error.

But perhaps it's 7.5% → then 0.075 → C) ✔

Let’s assume it's 7.5% → then C) 0.075

But the text says "7.5" — no percent sign.

So confusing.

But let’s look at next one.

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7) 1.5

Convert 1.5 to percent or fraction.

1.5 = 150% or $ \frac{3}{2} $

Options:
A) 65% → no
B) $ \frac{3}{2} $ → yes!
C) 120% → no
D) $ \frac{3}{4} = 0.75 $ → no

So B) $ \frac{3}{2} $ = 1.5 ✔

✔ Answer: B) $ \frac{3}{2} $

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8) 27%

Convert to decimal or fraction.

27% = 0.27 or $ \frac{27}{100} $

Options:
A) 0.027 → 2.7% ✘
B) $ \frac{27}{100} $ → yes! ✔
C) 2.7 → 270% ✘
D) $ \frac{27}{10} = 2.7 $ → no

So B) $ \frac{27}{100} $ ✔

✔ Answer: B) $ \frac{27}{100} $

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9) 0.1

Convert to percent or fraction.

0.1 = 10% or $ \frac{1}{10} $

Options:
A) 0.017 → 1.7% ✘
B) 170% → no
C) 0.17 → 17% ✘
D) 17% → no

None are 0.1 or 10% or $ \frac{1}{10} $

But 0.1 = 10%, so if any option is 10%, it would be good.

But none are.

Wait — is there a typo?

Maybe it's 0.17?

But it says 0.1

So 0.1 = 10% = $ \frac{1}{10} $

But options:
A) 0.017
B) 170%
C) 0.17
D) 17%

None match.

But D) 17% is close? No.

Unless it's 0.17, then D) 17% ✔

But it says 0.1

So again, issue.

But let’s assume it's 0.1, then no correct answer.

But perhaps D) 17% is wrong.

Wait — maybe the number is 0.17?

But you wrote: "9) 0.1"

So 0.1 = 10% → not listed.

So no correct option.

But let’s skip.

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10) 0.1

Same as above.

Wait — it's listed again?

No — 9) 0.1, 10) 0.1 — same?

Wait — no, 10) is 0.1 again?

Look:

9) 0.1
10) 0.1

Wait — that can’t be.

But in your image:

> 9) 0.1
> A) 0.017
> B) 170%
> C) 0.17
> D) 17%

Then:
> 10) 0.1
> A) $ \frac{1}{10} $
> B) 100%
> C) 10%
> D) $ \frac{1}{100} $

Ah! Now it makes sense.

So 10) 0.1

Options:
A) $ \frac{1}{10} = 0.1 $ ✔
B) 100% = 1 ✘
C) 10% = 0.1 ✔
D) $ \frac{1}{100} = 0.01 $ ✘

So both A and C are correct.

But A is $ \frac{1}{10} $, which is exact fraction.

C is 10%, which is 0.1.

Both are correct.

But likely, A) $ \frac{1}{10} $ is the best representation.

✔ Answer: A) $ \frac{1}{10} $

(Or C) 10% — but A is direct)

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11) 88%

Convert to decimal or fraction.

88% = 0.88 or $ \frac{88}{100} = \frac{22}{25} $

Options:
A) $ \frac{21}{25} = 0.84 $ → 84% ✘
B) 0.8 → 80% ✘
C) 0.88 → yes! ✔
D) 0.08 → 8% ✘

So C) 0.88 ✔

✔ Answer: C) 0.88

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12) $ \frac{3}{4} $

$ \frac{3}{4} = 0.75 = 75\% $

Options:
A) 0.5 → 50% ✘
B) 0.5 → same
C) 75% → yes! ✔
D) 25% → no

So C) 75% ✔

✔ Answer: C) 75%

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13) 0.5

0.5 = 50% or $ \frac{1}{2} $

Options:
A) 5% → no
B) $ \frac{1}{2} $ → yes! ✔
C) 10% → no
D) $ \frac{1}{3} \approx 0.333 $ → no

So B) $ \frac{1}{2} $ ✔

✔ Answer: B) $ \frac{1}{2} $

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14) 7%

7% = 0.07 or $ \frac{7}{100} $

Options:
A) 0.7 → 70% ✘
B) $ \frac{7}{100} $ → yes! ✔
C) 1.7 → 170% ✘
D) $ \frac{17}{100} = 0.17 $ → 17% ✘

So B) $ \frac{7}{100} $ ✔

✔ Answer: B) $ \frac{7}{100} $

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Summary of Answers (Best Guess):

| Q | Answer |
|---|--------|
| 1 | D) $ \frac{29}{100} $ |
| 2 | A) $ \frac{3}{10} $ (assuming typo in C) |
| 3 | ? (likely typo — $ \frac{3}{5} = 0.6 $, not listed; perhaps should be $ \frac{4}{5} $ → C) 80%) |
| 4 | A) $ \frac{51}{100} $ |
| 5 | D) 0.43 |
| 6 | ? (7.5 not matched; if 7.5%, then C) 0.075) |
| 7 | B) $ \frac{3}{2} $ |
| 8 | B) $ \frac{27}{100} $ |
| 9 | ? (0.1 not matched; if 0.17, then D) 17%) |
| 10 | A) $ \frac{1}{10} $ |
| 11 | C) 0.88 |
| 12 | C) 75% |
| 13 | B) $ \frac{1}{2} $ |
| 14 | B) $ \frac{7}{100} $ |

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Final Answers (with corrections for likely typos):

1) D
2) A
3) ?? — likely typo; if $ \frac{4}{5} $, then C; if $ \frac{2}{5} $, then A
4) A
5) D
6) ?? — if 7.5%, then C
7) B
8) B
9) ?? — if 0.17, then D
10) A
11) C
12) C
13) B
14) B

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But based on what is written, here are the correct ones where possible:

✔ 1) D
✔ 2) A
✔ 4) A
✔ 5) D
✔ 7) B
✔ 8) B
✔ 10) A
✔ 11) C
✔ 12) C
✔ 13) B
✔ 14) B

For 3): $ \frac{3}{5} = 0.6 $, but options don't include 0.6 or 60%. Closest is none. If it were $ \frac{4}{5} $, then C) 80% would be correct.

For 6): 7.5 — if it's 7.5%, then C) 0.075

For 9): 0.1 — if it's 0.17, then D) 17%

But as written, those are incorrect.

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Conclusion:

The worksheet has several typos or errors in options.

But assuming the numbers are correct, here are the best answers:

1) D
2) A
3) ??? (error)
4) A
5) D
6) ??? (error)
7) B
8) B
9) ??? (error)
10) A
11) C
12) C
13) B
14) B

If you can confirm the actual values, I can adjust.

But based on standard conversions, these are the correct choices when possible.