Fraction Word Problems worksheet with answers, designed for educational use.

Let's solve each of these fraction word problems step by step, explaining the reasoning and calculations. The answers are already provided on the right-hand side, but we'll go through each problem to understand how they were derived.

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1) Adam stacked 7 pieces of wood on top of one another. If each piece was $ \frac{10}{12} $ of a foot tall, how tall was his pile?

Step-by-step:
- Each piece is $ \frac{10}{12} $ ft.
- There are 7 pieces.
- Total height = $ 7 \times \frac{10}{12} = \frac{70}{12} $
- Simplify: $ \frac{70}{12} = \frac{35}{6} = 5\frac{5}{6} $? Wait — let's check.

Wait! $ \frac{70}{12} = \frac{35}{6} = 5\frac{5}{6} $, but the answer key says $ 5\frac{10}{12} $. That’s not simplified.

But wait — $ \frac{70}{12} = 5\frac{10}{12} $, which simplifies to $ 5\frac{5}{6} $. However, the answer key shows $ 5\frac{10}{12} $, which is equivalent but not simplified. Since the answer key uses $ 5\frac{10}{12} $, perhaps it's acceptable as-is.

But let’s double-check:
- $ 7 \times \frac{10}{12} = \frac{70}{12} = 5\frac{10}{12} $ → yes.
- So answer: $ 5\frac{10}{12} $ (or $ 5\frac{5}{6} $)

✔ Answer: $ 5\frac{10}{12} $

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2) Robin bought a couple packages of gum at the gas station and ate $ \frac{3}{4} $ of a package each week. How much would she have eaten after 7 weeks?

Step-by-step:
- Weekly consumption: $ \frac{3}{4} $
- Over 7 weeks: $ 7 \times \frac{3}{4} = \frac{21}{4} $
- Convert to mixed number: $ \frac{21}{4} = 5\frac{1}{4} $

✔ Answer: $ 5\frac{1}{4} $

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3) Rachel needed $ \frac{1}{2} $ of a cup of water for 1 flower. If she had 3 flowers, how many cups would she need?

Step-by-step:
- Water per flower: $ \frac{1}{2} $
- For 3 flowers: $ 3 \times \frac{1}{2} = \frac{3}{2} = 1\frac{1}{2} $

✔ Answer: $ 1\frac{1}{2} $

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4) Carol was packing up some of her old stuff into a box. A box can hold 2 pounds, but she only filled it up $ \frac{1}{4} $ full. How much weight was in the box?

Step-by-step:
- Full capacity: 2 pounds
- Filled $ \frac{1}{4} $: $ 2 \times \frac{1}{4} = \frac{2}{4} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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5) Oliver lived 3 miles from his school. If he rode his bike $ \frac{7}{10} $ of the distance and then walked the rest, how far did he ride his bike?

Step-by-step:
- Total distance: 3 miles
- Distance biked: $ 3 \times \frac{7}{10} = \frac{21}{10} = 2\frac{1}{10} $

✔ Answer: $ 2\frac{1}{10} $

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6) Each day a company used $ \frac{2}{5} $ of a box of paper. How many boxes would they have used after 4 days?

Step-by-step:
- Daily use: $ \frac{2}{5} $
- After 4 days: $ 4 \times \frac{2}{5} = \frac{8}{5} = 1\frac{3}{5} $

✔ Answer: $ 1\frac{3}{5} $

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7) When Lana’s 3DS is fully charged it lasts for 4 hours. If she only charged it $ \frac{2}{3} $ full, how long would it last?

Step-by-step:
- Full charge → 4 hours
- $ \frac{2}{3} $ charge → $ 4 \times \frac{2}{3} = \frac{8}{3} = 2\frac{2}{3} $ hours

✔ Answer: $ 2\frac{2}{3} $

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8) Amy made spicy and regular chili for the chili cook-off. She made enough spicy to fill up $ \frac{6}{8} $ of a pot. If she made 4 times as much regular, how many pots of regular did she have?

Step-by-step:
- Spicy: $ \frac{6}{8} $ of a pot
- Regular: 4 times that → $ 4 \times \frac{6}{8} = \frac{24}{8} = 3 $

So, 3 pots of regular chili.

✔ Answer: $ 3 $
(Note: Answer key says $ \frac{3}{4} $? Wait — no, the answer key says $ 3 $? Let's check.)

Looking back: Answer key says $ \frac{3}{4} $? No — #8 is listed as $ \frac{3}{4} $? Wait:

Wait — #8 answer key says $ \frac{3}{4} $? That doesn't make sense.

Wait — look at the answer key:

> 8. $ \frac{3}{4} $

But our calculation gives 3, not $ \frac{3}{4} $. So something is wrong.

Wait — let's re-read the problem:

> "She made enough spicy to fill up $ \frac{6}{8} $ of a pot. If she made 4 times as much regular..."

So regular = $ 4 \times \frac{6}{8} = \frac{24}{8} = 3 $ → 3 pots

But answer key says $ \frac{3}{4} $? That’s incorrect unless misread.

Wait — maybe the problem says she made $ \frac{6}{8} $ of a pot of spicy, and regular was $ \frac{1}{4} $ of that?

No — it says “she made 4 times as much regular” — so 4 × $ \frac{6}{8} $ = 3

So answer should be 3, not $ \frac{3}{4} $

But answer key says $ \frac{3}{4} $? That’s a mistake.

Wait — let’s check the image again.

Ah — looking at the answer key:

> 8. $ \frac{3}{4} $

But that contradicts the math.

Unless... is the problem different?

Wait — maybe I misread.

Problem 8: "She made enough spicy to fill up $ \frac{6}{8} $ of a pot. If she made 4 times as much regular, how many pots of regular did she have?"

Yes — 4 × $ \frac{6}{8} $ = $ \frac{24}{8} $ = 3

So correct answer is 3

But answer key says $ \frac{3}{4} $? That must be a typo.

Alternatively, maybe the problem says she made $ \frac{1}{4} $ as much regular? But no — it says 4 times as much.

So likely, answer key has an error here.

But let's move on and come back.

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9) A restaurant used 5 pounds of potatoes during a lunch rush. If they used $ \frac{1}{6} $ as much beef, how many pounds of beef did they use?

Step-by-step:
- Potatoes: 5 lbs
- Beef: $ \frac{1}{6} $ of that → $ 5 \times \frac{1}{6} = \frac{5}{6} $

✔ Answer: $ \frac{5}{6} $

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10) A pitcher could hold $ \frac{7}{6} $ of a gallon of water. If Paul filled up 8 pitchers, how much water would he have?

Step-by-step:
- One pitcher: $ \frac{7}{6} $ gallons
- 8 pitchers: $ 8 \times \frac{7}{6} = \frac{56}{6} = \frac{28}{3} = 9\frac{1}{3} $

✔ Answer: $ 9\frac{1}{3} $

But answer key says $ 2\frac{1}{6} $? That’s way off.

Wait — answer key says:

> 10. $ 2\frac{1}{6} $

That can’t be right.

$ 8 \times \frac{7}{6} = \frac{56}{6} = 9\frac{1}{3} $

So either the problem or the answer key is wrong.

But wait — maybe the pitcher holds $ \frac{7}{6} $ gallons, and he filled 8 pitchers? Yes.

So total = $ 8 \times \frac{7}{6} = \frac{56}{6} = 9\frac{1}{3} $

So answer key says $ 2\frac{1}{6} $? That’s incorrect.

Wait — perhaps the problem says he filled only $ \frac{1}{6} $ of each pitcher? But no — it says “filled up 8 pitchers”, meaning full.

So answer key likely has an error here too.

But let's continue.

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11) Frank ran 7 miles on his first day of training. The next day he ran $ \frac{3}{5} $ that distance. How far did he run the second day?

Step-by-step:
- First day: 7 miles
- Second day: $ 7 \times \frac{3}{5} = \frac{21}{5} = 4\frac{1}{5} $

✔ Answer: $ 4\frac{1}{5} $

Answer key says $ 4\frac{1}{5} $ — correct.

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12) A group of 6 friends each received $ \frac{2}{5} $ of a pound of candy. How much candy did they receive total?

Step-by-step:
- Per person: $ \frac{2}{5} $
- 6 people: $ 6 \times \frac{2}{5} = \frac{12}{5} = 2\frac{2}{5} $

✔ Answer: $ 2\frac{2}{5} $

But answer key says $ 4\frac{1}{5} $? That’s not matching.

Wait — answer key says:

> 12. $ 4\frac{1}{5} $

But $ 6 \times \frac{2}{5} = \frac{12}{5} = 2\frac{2}{5} $

So answer key is wrong.

Wait — unless the problem says $ \frac{4}{5} $? But no — it says $ \frac{2}{5} $

So again, discrepancy.

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## 🔍 Summary of Discrepancies:

Let’s list what the correct answers should be vs. what the answer key says:

| Problem | Correct Answer | Answer Key |
|--------|----------------|------------|
| 1 | $ 5\frac{10}{12} $ (or $ 5\frac{5}{6} $) | ✔ $ 5\frac{10}{12} $ |
| 2 | $ 5\frac{1}{4} $ | ✔ $ 5\frac{1}{4} $ |
| 3 | $ 1\frac{1}{2} $ | ✔ $ 1\frac{1}{2} $ |
| 4 | $ \frac{1}{2} $ | ✔ $ \frac{1}{2} $ |
| 5 | $ 2\frac{1}{10} $ | ✔ $ 2\frac{1}{10} $ |
| 6 | $ 1\frac{3}{5} $ | ✔ $ 1\frac{3}{5} $ |
| 7 | $ 2\frac{2}{3} $ | ✔ $ 2\frac{2}{3} $ |
| 8 | 3 | ✘ $ \frac{3}{4} $ ← Error |
| 9 | $ \frac{5}{6} $ | ✔ $ \frac{5}{6} $ |
|10 | $ 9\frac{1}{3} $ | ✘ $ 2\frac{1}{6} $ ← Error |
|11 | $ 4\frac{1}{5} $ | ✔ $ 4\frac{1}{5} $ |
|12 | $ 2\frac{2}{5} $ | ✘ $ 4\frac{1}{5} $ ← Error |

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## ✔ Final Notes:

The answer key has errors in problems 8, 10, and 12.

Let’s correct them:

✔ Corrected Answers:

- Problem 8: $ 4 \times \frac{6}{8} = \frac{24}{8} = 3 $ → 3
- Problem 10: $ 8 \times \frac{7}{6} = \frac{56}{6} = 9\frac{1}{3} $
- Problem 12: $ 6 \times \frac{2}{5} = \frac{12}{5} = 2\frac{2}{5} $

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## 📝 Conclusion:

The solutions are mostly correct, but the answer key contains errors in problems 8, 10, and 12.

✔ Correct Answers:

1. $ 5\frac{10}{12} $
2. $ 5\frac{1}{4} $
3. $ 1\frac{1}{2} $
4. $ \frac{1}{2} $
5. $ 2\frac{1}{10} $
6. $ 1\frac{3}{5} $
7. $ 2\frac{2}{3} $
8. 3 (not $ \frac{3}{4} $)
9. $ \frac{5}{6} $
10. $ 9\frac{1}{3} $ (not $ 2\frac{1}{6} $)
11. $ 4\frac{1}{5} $
12. $ 2\frac{2}{5} $ (not $ 4\frac{1}{5} $)

If you're using this worksheet, please double-check these three answers. The rest are correct.

Let me know if you'd like a printable corrected version!