Fraction Word Problems Worksheets - 15 Worksheets Library - Free Printable

Let’s solve each problem one by one. We’ll use fractions to find the answer for each famous person’s situation.

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1. Beyonce’s Albums:
She released 12 albums. 1/3 are live recordings.
→ Multiply: 12 × (1/3) = 12 ÷ 3 = 4

✔ Answer: 4 live albums

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2. Michael Jordan’s Free Throws:
He made 70 free throws. 3/5 were successful.
→ Multiply: 70 × (3/5) = (70 ÷ 5) × 3 = 14 × 3 = 42

✔ Answer: 42 successful free throws

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3. Abraham Lincoln’s Speeches:
He delivered 20 speeches. 2/4 were about equality.
→ First, simplify 2/4 to 1/2.
→ Then: 20 × (1/2) = 20 ÷ 2 = 10

✔ Answer: 10 speeches about equality

*(Note: You could also do 20 × 2/4 = 40/4 = 10 — same result!)*

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4. Malala Yousafzai’s Books:
She has written 8 books. 5/8 are autobiographies.
→ Multiply: 8 × (5/8) = (8 ÷ 8) × 5 = 1 × 5 = 5

✔ Answer: 5 autobiographies

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5. Albert Einstein’s Theories:
He formulated 15 theories. 3/5 are related to relativity.
→ Multiply: 15 × (3/5) = (15 ÷ 5) × 3 = 3 × 3 = 9

✔ Answer: 9 theories related to relativity

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6. Serena Williams’ Grand Slam Titles:
She won 23 titles. 2/3 are in singles events.
→ Multiply: 23 × (2/3) = (23 × 2) ÷ 3 = 46 ÷ 3 = 15 and 1/3

Wait — that doesn’t make sense! You can’t win a third of a title.

Let me double-check:
Is it possible the problem meant “approximately” or maybe there’s a typo? But since this is a math worksheet, we should give the exact fractional answer unless told otherwise.

But let’s think again — maybe I misread. Let’s recalculate:

23 × 2 = 46
46 ÷ 3 = 15 with remainder 1 → so 15 and 1/3

Hmm… but in real life, you can’t have a fraction of a title. Maybe the number 23 is wrong? Or perhaps the fraction?

Actually — looking back at the problem: “If 2/3 of her titles are in singles events...”

In reality, Serena has won 23 Grand Slam singles titles — so ALL of them are singles! That means the problem might be using fake numbers for teaching purposes.

Since this is a math exercise, we’ll go with the calculation even if it gives a fraction.

BUT — wait! Let me check if 23 is divisible by 3? No, 23 ÷ 3 = 7.666...

So 2/3 of 23 is indeed 46/3 = 15⅓

However, in school worksheets, sometimes they expect you to round or leave as mixed number.

But let’s see other problems — all others gave whole numbers. Maybe I made a mistake?

Wait — perhaps the problem says “23 Grand Slam titles” total, and 2/3 are singles — meaning not all 23 are singles? In reality, she has 23 singles, 14 doubles, 2 mixed — total 39. So maybe the problem is simplified.

Given that, and since this is a fraction word problem, we must compute exactly.

So: 23 × 2/3 = 46/3 = 15 1/3

But since you can’t have 1/3 of a title, perhaps the problem expects us to write it as a mixed number or decimal? Or maybe it’s an error?

Looking at the rest of the problems — they all result in whole numbers. Let me re-read #6:

“Serena Williams has won 23 Grand Slam titles in her tennis career. If 2/3 of her titles are in singles events, how many singles titles has she won?”

This implies that 2/3 of 23 are singles — which mathematically is 15⅓ — but that’s impossible.

Perhaps it’s a trick question? Or maybe the number is supposed to be 24? Because 2/3 of 24 is 16.

But since we have to work with what’s given, and assuming it’s intentional for practice, we’ll report the exact value.

Alternatively — maybe I should leave it as a fraction? But the question asks “how many”, implying a whole number.

Wait — let’s calculate again:

23 × 2 = 46
46 ÷ 3 = 15.333... — still not whole.

I think there might be a typo in the worksheet, but since we’re solving as-is, I’ll note that and proceed.

For now, I’ll write the mathematical answer: 15 1/3, but since that’s not realistic, perhaps the intended number was 24? Let’s hold off and come back after checking others.

Actually — let’s skip and do the rest first.

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7. Mozart’s Compositions:
He composed 50 musical compositions. 4/10 are symphonies.
→ Simplify 4/10 to 2/5.
→ 50 × (2/5) = (50 ÷ 5) × 2 = 10 × 2 = 20

Or: 50 × 4/10 = 200/10 = 20

✔ Answer: 20 symphonies

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8. Steve Jobs’ Patents:
He obtained 100 patents. 3/4 are technology-related.
→ 100 × (3/4) = (100 ÷ 4) × 3 = 25 × 3 = 75

✔ Answer: 75 technology-related patents

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9. J.K. Rowling’s Books:
She wrote 7 Harry Potter books. 2/7 were adapted into movies.
→ 7 × (2/7) = (7 ÷ 7) × 2 = 1 × 2 = 2

✔ Answer: 2 books adapted into movies

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10. Elon Musk’s Companies:
He founded 5 companies. 3/5 are focused on sustainable energy.
→ 5 × (3/5) = (5 ÷ 5) × 3 = 1 × 3 = 3

✔ Answer: 3 companies focused on sustainable energy

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Now back to #6 — Serena Williams.

We have 23 titles, 2/3 are singles.

Mathematically: 23 × 2/3 = 46/3 = 15 1/3

But since you can't have a third of a title, and all other answers are whole numbers, perhaps the problem meant 24 titles? Because 2/3 of 24 is 16 — a nice whole number.

Maybe it's a common mistake — Serena actually has 23 *singles* titles, so if the problem said "she has 23 singles titles", then 2/3 of those would be... but that doesn't make sense either.

Another possibility: maybe "Grand Slam titles" includes doubles and mixed, and 2/3 of her total Grand Slam titles are singles.

In reality, Serena has:
- 23 singles
- 14 women's doubles
- 2 mixed doubles
Total: 39 Grand Slam titles

Then 2/3 of 39 is 26 — but she only has 23 singles, so that doesn't match.

Perhaps the problem is fictional and uses 23 as total, and expects 15 1/3.

But in educational contexts, especially for younger students, they usually avoid fractional people/things.

Let me check if 23 is correct in the image — yes, it says 23.

Perhaps it's acceptable to leave as mixed number.

But looking at the pattern — every other problem gives a whole number when you multiply.

Let me calculate 23 × 2 / 3:

23 × 2 = 46

46 ÷ 3 = 15.333... — not integer.

Unless... did I misread the fraction? It says "2/3 of her titles are in singles events"

Perhaps it's 3/2? No, that would be more than total.

Another idea: maybe "titles" refers to something else, but no.

I think for the sake of this exercise, since it's a math problem, we should provide the exact fractional answer, but note that in reality it might be rounded.

But let's see the instruction: "solve the problem accurately"

Accurately means mathematically correct.

So 46/3 or 15 1/3.

But perhaps the worksheet expects us to write it as a mixed number.

Maybe I should contact the teacher, but since I can't, I'll go with the math.

Wait — let's look at problem #3: 2/4 of 20 — which is 10, whole number.

#4: 5/8 of 8 = 5, whole.

#5: 3/5 of 15 = 9, whole.

#6: 2/3 of 23 — not whole.

Perhaps it's a test to see if students recognize that it's not a whole number? But the question says "how many", implying countable items.

Another thought: maybe "23" is a typo and it's supposed to be "24". Because 2/3 of 24 is 16, which is reasonable.

In many such worksheets, they use numbers that divide evenly.

For example, if it were 24 titles, 2/3 would be 16.

Or if it were 21, 2/3 would be 14.

23 is prime, so only divisible by 1 and 23.

So 2/3 of 23 cannot be whole.

Given that, and since this is likely an oversight, but for accuracy, I'll calculate it as is.

So for #6: 23 × 2/3 = 46/3 = 15 1/3

But since the student might be confused, and the other answers are whole, perhaps I should box it as 15 1/3.

Let's finalize all answers:

1. 4
2. 42
3. 10
4. 5
5. 9
6. 15 1/3 or 46/3 — but let's write as mixed number: 15\frac{1}{3}
7. 20
8. 75
9. 2
10. 3

For #6, I think it's best to state the mathematical answer.

Perhaps the problem is from a source where they accept fractions.

So I'll go with that.

Final Answers:

1. 4
2. 42
3. 10
4. 5
5. 9
6. \frac{46}{3} or 15\frac{1}{3} — but since it's "how many", and in context, perhaps they want the exact value.

To be consistent, let's write all as whole numbers except #6.

But for the final answer section, I need to list them.

Perhaps for #6, it's 15, rounding down, but that's not accurate.

I recall that in some curricula, they teach to leave as improper fraction or mixed number.

So I'll use mixed number for #6.

So:

6. 15 \frac{1}{3}

But let's confirm the calculation once more:

23 * 2 = 46

46 / 3 = 15 with remainder 1, so 15 and 1/3. Yes.

Okay, I think that's it.

Now for the Final Answer section, I'll list all answers in order.

Final Answer:
1. 4
2. 42
3. 10
4. 5
5. 9
6. 15\frac{1}{3}
7. 20
8. 75
9. 2
10. 3

But to make it neat, perhaps write #6 as 46/3 or specify.

Since the other answers are integers, and this is unusual, but mathematically correct, I'll keep it.

Perhaps the problem has a mistake, but as per instructions, solve accurately.

So I'll proceed.