Unit Fractions Word Problems | Maths | (teacher made) - Free Printable

Let's solve each of these fraction word problems step by step and explain the reasoning behind each answer.

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1. There are 30 people in our class. 15 are women. What part of the class are men?

- Total people = 30
- Women = 15
- So, men = 30 - 15 = 15
- Fraction of men = $ \frac{15}{30} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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2. There are 24 cookies in the jar. 10 are coconut based. What fraction of the cookies is not coconut based?

- Total cookies = 24
- Coconut-based = 10
- Not coconut-based = 24 - 10 = 14
- Fraction not coconut-based = $ \frac{14}{24} = \frac{7}{12} $ (simplified)

✔ Answer: $ \frac{7}{12} $

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3. It is 8 miles to John's house. We have already driven 2 miles. What fraction of the way have we driven?

- Total distance = 8 miles
- Driven = 2 miles
- Fraction driven = $ \frac{2}{8} = \frac{1}{4} $

✔ Answer: $ \frac{1}{4} $

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4. It is 18 miles to John's house. We have driven 10 miles already. What fraction of the way do we have left to go?

- Total distance = 18 miles
- Driven = 10 miles
- Left = 18 - 10 = 8 miles
- Fraction left = $ \frac{8}{18} = \frac{4}{9} $

✔ Answer: $ \frac{4}{9} $

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5. A cake had 10 slices. 6 were eaten. What fraction of the cake was left?

- Total slices = 10
- Eaten = 6
- Left = 10 - 6 = 4
- Fraction left = $ \frac{4}{10} = \frac{2}{5} $

✔ Answer: $ \frac{2}{5} $

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6. A pizza was cut into twenty-four slices. Eight were eaten. What fraction of the pizza was eaten?

- Total slices = 24
- Eaten = 8
- Fraction eaten = $ \frac{8}{24} = \frac{1}{3} $

✔ Answer: $ \frac{1}{3} $

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7. There are 12 students in a class. 8 have passed the math test. What fraction of the students have passed math test?

- Total students = 12
- Passed = 8
- Fraction passed = $ \frac{8}{12} = \frac{2}{3} $

✔ Answer: $ \frac{2}{3} $

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8. Susan had 20 dollars. She spent 6 dollars on gas, 4 dollars on parking, and 4 dollars on lunch. In fraction form, how much money does she have left?

- Total money = $20
- Spent = 6 + 4 + 4 = $14
- Left = 20 - 14 = $6
- Fraction left = $ \frac{6}{20} = \frac{3}{10} $

✔ Answer: $ \frac{3}{10} $

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9. There are 30 people in our class. 10 are women. What part of the class are men?

- Total = 30
- Women = 10
- Men = 30 - 10 = 20
- Fraction of men = $ \frac{20}{30} = \frac{2}{3} $

✔ Answer: $ \frac{2}{3} $

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10. There are 24 cookies in the jar. 12 are coconut based. What fraction of the cookies is not coconut based?

- Total = 24
- Coconut-based = 12
- Not coconut-based = 24 - 12 = 12
- Fraction not coconut-based = $ \frac{12}{24} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ \frac{1}{2} $ |
| 2 | $ \frac{7}{12} $ |
| 3 | $ \frac{1}{4} $ |
| 4 | $ \frac{4}{9} $ |
| 5 | $ \frac{2}{5} $ |
| 6 | $ \frac{1}{3} $ |
| 7 | $ \frac{2}{3} $ |
| 8 | $ \frac{3}{10} $ |
| 9 | $ \frac{2}{3} $ |
| 10 | $ \frac{1}{2} $ |

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🔍 Key Concepts Used:

- Fraction = Part / Whole
- Always simplify fractions (e.g., $ \frac{14}{24} \to \frac{7}{12} $)
- Subtract to find remaining parts
- Use total as denominator

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