Fraction word problems using real-life examples from famous people.

Let's solve each of these Famous People Fraction Word Problems step by step.

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1. Beyoncé's Albums

Problem: Beyoncé has released 12 albums in her career. If $ \frac{1}{3} $ of her albums are live recordings, how many live albums has she released?

Solution:
$$
\frac{1}{3} \times 12 = 4
$$

✔ Answer: 4 live albums.

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2. Michael Jordan's Free Throws

Problem: Michael Jordan made 70 free throws in a basketball game. If $ \frac{3}{5} $ of his free throws were successful, how many successful free throws did he make?

Solution:
$$
\frac{3}{5} \times 70 = \frac{3 \times 70}{5} = \frac{210}{5} = 42
$$

✔ Answer: 42 successful free throws.

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3. Abraham Lincoln's Speeches

Problem: Abraham Lincoln delivered 20 speeches during his presidency. If $ \frac{2}{4} $ of his speeches were about equality, how many speeches were about equality?

Solution:
$$
\frac{2}{4} = \frac{1}{2}, \quad \frac{1}{2} \times 20 = 10
$$

✔ Answer: 10 speeches about equality.

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4. Malala Yousafzai's Books

Problem: Malala Yousafzai has written 8 books. If $ \frac{5}{8} $ of her books are autobiographies, how many autobiographies has she written?

Solution:
$$
\frac{5}{8} \times 8 = 5
$$

✔ Answer: 5 autobiographies.

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5. Albert Einstein's Theories

Problem: Albert Einstein formulated 15 major scientific theories. If $ \frac{3}{5} $ of his theories are related to relativity, how many theories were related to relativity?

Solution:
$$
\frac{3}{5} \times 15 = \frac{3 \times 15}{5} = \frac{45}{5} = 9
$$

✔ Answer: 9 theories related to relativity.

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6. Serena Williams' Grand Slam Titles

Problem: Serena Williams has won 23 Grand Slam titles in her tennis career. If $ \frac{2}{3} $ of her titles are in singles events, how many singles titles has she won?

Solution:
$$
\frac{2}{3} \times 23 = \frac{46}{3} \approx 15.33
$$

But we can't have a fraction of a title — let's check if this is exact.

Wait:
$$
\frac{2}{3} \times 23 = \frac{46}{3} = 15 \frac{1}{3}
$$

This suggests a problem — unless the number is approximate or there’s a mistake.

But in reality, Serena Williams has 23 Grand Slam titles, and $ \frac{2}{3} $ of them being singles would be:

$$
\frac{2}{3} \times 23 = 15.\overline{3}
$$

That’s not a whole number. But since the number of titles must be an integer, this might be a rounding issue.

However, in real life, Serena Williams has 23 Grand Slam titles, with 23 singles titles (she didn’t win any doubles Grand Slams? No — actually, she has some doubles).

Wait — let's double-check:
Serena Williams has:
- 23 Grand Slam singles titles ✔
- 14 doubles titles
- 2 mixed doubles

So all 23 are singles? Actually, no — she has 23 singles titles, so $ \frac{23}{23} = 1 $, not $ \frac{2}{3} $.

But in this problem, it says: "If $ \frac{2}{3} $ of her titles are in singles..."

So assuming the numbers given are hypothetical:

$$
\frac{2}{3} \times 23 = \frac{46}{3} \approx 15.33
$$

This is not a whole number, so either:
- The problem expects us to round, or
- There’s a mistake.

But since we're doing math, perhaps the number should be divisible.

Wait — maybe it's a typo, but based on the question as written:

We compute:
$$
\frac{2}{3} \times 23 = \frac{46}{3} = 15 \frac{1}{3}
$$

But you can't have a third of a title. So likely, the problem assumes that $ \frac{2}{3} $ of 23 is acceptable as a fraction.

But in word problems like this, we expect whole numbers.

Alternatively, maybe the total number of titles is not 23, or the fraction is different.

But the problem says: "has won 23 Grand Slam titles" and "if $ \frac{2}{3} $ of her titles are in singles"

So we must go with the math:

$$
\frac{2}{3} \times 23 = \frac{46}{3} = 15.\overline{3}
$$

But since this isn't a whole number, and the context is real-world (number of titles), we conclude:

➡️ This is a problematic question unless we accept fractional answers.

But likely, the intended answer is:

$$
\frac{2}{3} \times 23 = 15.33 \Rightarrow \text{round to } 15 \text{ or } 16?
$$

But better to keep it exact.

Wait — perhaps the problem meant 21 titles? Because $ \frac{2}{3} \times 21 = 14 $

Or maybe 24? $ \frac{2}{3} \times 24 = 16 $

But it says 23.

So unless we accept decimal, we can say:

$$
\frac{2}{3} \times 23 = \frac{46}{3} = 15 \frac{1}{3}
$$

But again, not possible.

So perhaps the problem has a typo.

But let’s proceed with the mathematical answer:

✔ Answer: $ \frac{46}{3} $ or approximately 15.33, but realistically, this is not valid for counting titles.

But since the problem asks for a number, and assuming it's a math exercise, we’ll write:

→ Answer: $ \boxed{\frac{46}{3}} $ or 15.33, but no whole number solution.

Wait — perhaps I misread.

Let me recheck: Serena Williams has won 23 Grand Slam titles — true.

And $ \frac{2}{3} $ of her titles are in singles — but in reality, she has 23 singles titles, so all are singles.

So $ \frac{2}{3} $ is incorrect.

But in the problem, it's hypothetical.

So mathematically:
$$
\frac{2}{3} \times 23 = \frac{46}{3} = 15 \frac{1}{3}
$$

So unless we're allowed fractions, it's invalid.

But perhaps the problem meant 24 titles? Or 18?

No — it says 23.

So we'll assume it's a theoretical scenario, and give the exact value.

✔ Answer: $ \boxed{\frac{46}{3}} $ or 15⅓ — but since you can't have a third of a title, it's likely intended to be rounded.

But let's move on and come back.

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7. Mozart's Compositions

Problem: Mozart composed 50 musical compositions. If $ \frac{4}{10} $ of his compositions are symphonies, how many symphonies did he compose?

Solution:
$$
\frac{4}{10} \times 50 = \frac{2}{5} \times 50 = 20
$$

✔ Answer: 20 symphonies.

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8. Steve Jobs' Patents

Problem: Steve Jobs obtained 100 patents during his career. If $ \frac{3}{4} $ of his patents are related to technology, how many technology-related patents did he obtain?

Solution:
$$
\frac{3}{4} \times 100 = 75
$$

✔ Answer: 75 technology-related patents.

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9. J.K. Rowling's Books

Problem: J.K. Rowling has written 7 books in the Harry Potter series. If $ \frac{2}{7} $ of the books are movie adaptations, how many Harry Potter books were adapted into movies?

Solution:
$$
\frac{2}{7} \times 7 = 2
$$

✔ Answer: 2 books were adapted into movies.

(Note: In reality, all 7 books were adapted, but the problem says only $ \frac{2}{7} $ — so it's hypothetical.)

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10. Elon Musk's Companies

Problem: Elon Musk founded 5 companies. If $ \frac{3}{5} $ of his companies are focused on sustainable energy, how many of his companies are focused on sustainable energy?

Solution:
$$
\frac{3}{5} \times 5 = 3
$$

✔ Answer: 3 companies.

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Summary of Answers:

| Problem | Answer |
|--------|--------|
| 1 | 4 live albums |
| 2 | 42 successful free throws |
| 3 | 10 speeches about equality |
| 4 | 5 autobiographies |
| 5 | 9 theories related to relativity |
| 6 | $ \frac{46}{3} $ or 15⅓ → Not a whole number (problematic) |
| 7 | 20 symphonies |
| 8 | 75 technology patents |
| 9 | 2 books adapted into movies |
| 10 | 3 companies focused on sustainable energy |

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Final Note on Problem #6:

The number of singles titles cannot be a fraction. Since $ \frac{2}{3} \times 23 = 15.\overline{3} $, this suggests either:
- A typo in the problem (e.g., maybe it's 21 or 24 titles),
- Or the fraction is approximate.

But based on the given numbers, the mathematical answer is:

> $ \boxed{\frac{46}{3}} $ or 15⅓

But in real-world terms, this is impossible.

So likely, the intended answer is 15 (rounded down), or the problem meant 21 titles.

But per the instructions, we solve as given.

✔ So final answer for #6: $ \boxed{15\frac{1}{3}} $ or 15.33, but not a valid count.

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✔ Final Answers:

1. 4
2. 42
3. 10
4. 5
5. 9
6. $ \frac{46}{3} $ or 15⅓ *(impossible in real life)*
7. 20
8. 75
9. 2
10. 3

Let me know if you'd like a corrected version of problem #6!