Conversion between percentages and fractions worksheet with multiple-choice questions.

Let’s go through each problem one by one. We’re converting between percentages and fractions — that means turning a percent into a fraction, or a fraction into a percent.

Remember:
- To turn a percent into a fraction, write the number over 100 and simplify if needed.
- To turn a fraction into a percent, divide the top by the bottom to get a decimal, then multiply by 100 (or think: “how many out of 100?”).

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1) 76% = ?

76% means 76 out of 100 → so it’s 76/100

Answer: a) 76/100

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2) 80% = ?

80% = 80/100 → simplify: divide numerator and denominator by 20 → 4/5

Answer: b) 4/5

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3) 7/20 = ? %

Divide 7 ÷ 20 = 0.35 → multiply by 100 = 35%

Answer: c) 35%

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4) 99% = ?

99% = 99/100 → already simplified

Answer: a) 99/100

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5) 1/2 = ? %

1 ÷ 2 = 0.5 → ×100 = 50%

Answer: a) 50%

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6) 70/200 = ? %

First, simplify 70/200 → divide numerator and denominator by 10 → 7/20
We did this in #3 → 7/20 = 35%

Or: 70 ÷ 200 = 0.35 → ×100 = 35%

Answer: c) 35%

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7) 25% = ?

25% = 25/100 → simplify: divide by 25 → 1/4

Answer: b) 1/4

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8) 47% = ?

47% = 47/100 → can’t be simplified further

Answer: c) 47/100

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9) 11/25 = ? %

11 ÷ 25 = 0.44 → ×100 = 44%

Answer: b) 44%

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10) 90% = ?

90% = 90/100 → simplify: divide by 10 → 9/10

Answer: a) 9/10

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11) 7/5 = ? %

Wait — 7/5 is greater than 1! That’s okay.

7 ÷ 5 = 1.4 → ×100 = 140%

But look at the options:

a) 14/20 → that’s 0.7 → 70% ✘
b) 40% ✘
c) 2/25 → 0.08 → 8% ✘

None say 140%. Did we misread?

Wait — maybe the question is written wrong? Let me check again.

The image says: 11) ___ = 7/5

And options are:

a) 14/20
b) 40%
c) 2/25

Hmm… none equal 7/5.

But wait — perhaps it’s asking which option equals 7/5? But 7/5 = 1.4, and none of these are 1.4.

Alternatively — maybe it’s a typo and should be 7/50? Or 7/25?

Wait — let’s test option c: 2/25 = 0.08 → no.

Option a: 14/20 = 7/10 = 0.7 → no.

Option b: 40% = 0.4 → no.

This doesn’t make sense. Unless...

Wait — maybe the blank is for the percentage equivalent of 7/5? Then it should be 140%, but that’s not listed.

Perhaps there’s a mistake in the worksheet? Or maybe I’m missing something.

Wait — let’s re-read the instruction: “Choose the correct answer.”

Maybe for #11, they meant 7/5 as a mixed number? 7/5 = 1 2/5 = 140% — still not matching.

Alternatively — could it be that 7/5 is being compared to the options as fractions?

Is 7/5 equal to any of them?

a) 14/20 = 7/10 → no
b) 40% = 2/5 → no
c) 2/25 → no

None match.

Wait — unless... maybe it’s 7/50? Let’s try that.

If it were 7/50 → 7 ÷ 50 = 0.14 → 14% — still not matching.

Or 7/25 = 0.28 → 28% — no.

Wait — what if the question is: which of these equals 7/5 when converted? Still no.

Hold on — let’s look back at the original image description. The user wrote:

> 11) ___ = 7/5
> a) 14/20
> b) 40%
> c) 2/25

Actually — maybe it’s a trick? Or perhaps it’s misprinted.

But let’s think differently. Maybe the blank is for the percentage, and 7/5 is the fraction given — so convert 7/5 to percent.

7/5 = 1.4 = 140% — not among options.

Unless... option a: 14/20 — that’s 70%, not 140%.

Wait — 14/20 simplifies to 7/10 — which is 70%.

Still not 140%.

Perhaps the fraction is 7/50? Then 7/50 = 14/100 = 14% — not listed.

Another idea: maybe it’s 7/5 as in seven-fifths, and they want it as a mixed number? But options don’t show mixed numbers.

Wait — let’s calculate 7/5 as a decimal: 1.4

Now, 14/20 = 0.7 — half of that.

40% = 0.4

2/25 = 0.08

None close.

Perhaps it’s a typo and should be 7/50? Then 7/50 = 14/100 = 14% — still not listed.

Or 7/25 = 28% — no.

Wait — what if the question is: which of these is equivalent to 7/5? And none are — so maybe it’s a mistake.

But let’s check option a: 14/20 — if you double numerator and denominator of 7/10, you get 14/20 — but 7/5 is different.

7/5 = 14/10 — oh! Wait a minute!

7/5 = 14/10 — because multiply numerator and denominator by 2.

But 14/10 is not an option. Option a is 14/20 — which is half of that.

So 14/20 = 7/10 — not 7/5.

I think there might be an error in the worksheet for #11.

But let’s see the options again:

a) 14/20
b) 40%
c) 2/25

None equal 7/5.

Unless... perhaps the question is "which of these equals 7/5 when simplified?" — but 7/5 is already simplified.

Maybe it's 7/5 as a percentage, and they expect us to choose the closest? But that’s not fair.

Another thought: perhaps the blank is for the fraction, and 7/5 is the percentage? But 7/5% would be 1.4%, which is tiny.

That doesn't help.

Let’s calculate what 7/5 is as a percentage: 140%.

Now, is 140% equal to any option? No.

But let’s look at option a: 14/20 — that’s 70%, which is half of 140%.

Option b: 40% — no.

Option c: 2/25 = 8% — no.

I think there might be a typo in the problem. Perhaps it was meant to be 7/50 or 7/25.

Let’s assume it’s 7/50 for a moment: 7/50 = 14/100 = 14% — not listed.

7/25 = 28% — not listed.

What if it’s 2/5? 2/5 = 40% — which is option b.

And 2/5 = 0.4 = 40%.

But the problem says 7/5, not 2/5.

Perhaps it’s a misprint, and it should be 2/5.

Because 2/5 = 40%, and option b is 40%.

That makes sense.

In many worksheets, typos happen.

Given that, and since 7/5 doesn't match any, but 2/5 does match 40%, and option b is 40%, perhaps it’s intended to be 2/5.

Maybe the fraction is 7/5, but they want it as a mixed number, and then convert, but still.

Another idea: perhaps "7/5" is meant to be "seven fifths", and they want the percentage, but again, 140%.

I think the most reasonable assumption is that it’s a typo, and it should be 2/5, which equals 40%.

Because otherwise, there’s no correct answer.

Perhaps in the context, 7/5 is incorrect, and it’s 7/50 or something else.

Let’s calculate 7/5 = 1.4, and 1.4 = 140/100 = 14/10 = 7/5 — same thing.

Option a is 14/20 = 7/10 = 0.7

Which is half.

Unless they mean 7/5 of something, but no.

I recall that sometimes in such worksheets, they have errors.

But let’s look at the pattern. In previous problems, all had correct answers.

For example, #3: 7/20 = 35% — correct.

#5: 1/2 = 50% — correct.

#9: 11/25 = 44% — correct.

So for #11, if it were 2/5, it would be 40%, which is option b.

And 2/5 is a common fraction.

Whereas 7/5 is less common for this level.

Also, 7/5 is greater than 1, while others are less than or equal to 1.

In the list, #6 is 70/200 = 35%, which is less than 1.

#11 might be intended to be a fraction less than 1.

So probably, it’s a typo, and it should be 2/5.

Therefore, 2/5 = 40%.

Answer: b) 40%

I’ll go with that, assuming a typo.

To confirm, if it were 7/5, there’s no correct option, so likely it’s 2/5.

Perhaps the "7" is a miswrite for "2".

In some fonts, 2 and 7 look similar.

So I’ll assume it’s 2/5.

Thus, 2/5 = 40%.

Final Answer for #11: b) 40%

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Now, compiling all answers:

1) a
2) b
3) c
4) a
5) a
6) c
7) b
8) c
9) b
10) a
11) b (assuming typo, should be 2/5)

But to be precise, based on what’s written, 7/5 doesn’t match, but since we must choose, and b is 40%, which is 2/5, and perhaps it’s a common mistake, I’ll go with b.

Alternatively, let’s see if 7/5 can be related.

7/5 = 14/10, and 14/20 is half of that, so no.

Perhaps they want 7/5 as a percentage, and 140% is not there, but 40% is close? No.

I think for the sake of completing, and since it’s likely a typo, I’ll select b.

But let’s double-check the user’s input.

User wrote: "11) ___ = 7/5" and options a) 14/20 b) 40% c) 2/25

Perhaps in the original image, it’s 2/5, but typed as 7/5 by mistake.

Given that, and to provide an answer, I’ll go with b) 40%, assuming it’s 2/5.

Otherwise, the problem has no solution.

So final answers:

1) a
2) b
3) c
4) a
5) a
6) c
7) b
8) c
9) b
10) a
11) b

Now, for the Final Answer section, since it’s multiple choice, I need to list the letters.

The instruction is to provide the final correct answer — probably for each, but since it’s a worksheet, perhaps list all.

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

Since it’s multiple questions, I should list the choices.

Perhaps write the sequence.

Looking at the response format, it might expect the answers for all.

But to be safe, I'll list them as per the problems.

Since the user didn't specify which one, but the whole worksheet, I'll provide all.

In the Final Answer, I can write the letter for each.

So:

Final Answer:
1) a
2) b
3) c
4) a
5) a
6) c
7) b
8) c
9) b
10) a
11) b

But for #11, I'm assuming a typo.

To be accurate, if we take 7/5 literally, none are correct, but that can't be.

Another possibility: perhaps "7/5" is meant to be "seven percent over five" or something, but that doesn't make sense.

Or maybe it's 7 divided by 5, which is 1.4, and 1.4 = 140%, and 140% = 140/100 = 14/10 = 7/5, same thing.

Option a is 14/20 = 7/10 = 0.7, which is not 1.4.

Unless they have 14/10, but it's written as 14/20.

I think it's a typo, and it should be 2/5.

Perhaps in some contexts, but I'll proceed.

So for the sake of completion, here are the answers.