Fraction Word Problems worksheet for Grade 5 students, including real-life scenarios involving fractions.
Grade 5 Math worksheet featuring fraction word problems with ten questions and answer boxes.
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Show Answer Key & Explanations
Step-by-step solution for: Word Problems in Fractions for Grade 5 | Grade1to6.com
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Show Answer Key & Explanations
Step-by-step solution for: Word Problems in Fractions for Grade 5 | Grade1to6.com
Let's solve each problem step by step:
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There are 30 people in our class. 15 are women. What part of the class are men?
- Total people in the class = 30
- Number of women = 15
- Number of men = Total people - Number of women = 30 - 15 = 15
- Fraction of the class that are men = Number of men / Total people = \( \frac{15}{30} \)
- Simplify the fraction: \( \frac{15}{30} = \frac{1}{2} \)
Answer: \( \boxed{\frac{1}{2}} \)
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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 cookies = 10
- Non-coconut-based cookies = Total cookies - Coconut-based cookies = 24 - 10 = 14
- Fraction of non-coconut-based cookies = Non-coconut-based cookies / Total cookies = \( \frac{14}{24} \)
- Simplify the fraction: \( \frac{14}{24} = \frac{7}{12} \)
Answer: \( \boxed{\frac{7}{12}} \)
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It is 8 miles to John's house. We have already driven 2 miles. What fraction of the way have we driven?
- Total distance to John's house = 8 miles
- Distance driven = 2 miles
- Fraction of the way driven = Distance driven / Total distance = \( \frac{2}{8} \)
- Simplify the fraction: \( \frac{2}{8} = \frac{1}{4} \)
Answer: \( \boxed{\frac{1}{4}} \)
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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 to John's house = 18 miles
- Distance driven = 10 miles
- Distance left to go = Total distance - Distance driven = 18 - 10 = 8 miles
- Fraction of the way left = Distance left / Total distance = \( \frac{8}{18} \)
- Simplify the fraction: \( \frac{8}{18} = \frac{4}{9} \)
Answer: \( \boxed{\frac{4}{9}} \)
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A cake had 10 slices. 6 were eaten. What fraction of the cake was left?
- Total slices = 10
- Slices eaten = 6
- Slices left = Total slices - Slices eaten = 10 - 6 = 4
- Fraction of the cake left = Slices left / Total slices = \( \frac{4}{10} \)
- Simplify the fraction: \( \frac{4}{10} = \frac{2}{5} \)
Answer: \( \boxed{\frac{2}{5}} \)
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A pizza was cut into twenty-four slices. Eight were eaten. What fraction of the pizza was eaten?
- Total slices = 24
- Slices eaten = 8
- Fraction of the pizza eaten = Slices eaten / Total slices = \( \frac{8}{24} \)
- Simplify the fraction: \( \frac{8}{24} = \frac{1}{3} \)
Answer: \( \boxed{\frac{1}{3}} \)
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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
- Students who passed = 8
- Fraction of students who passed = Students who passed / Total students = \( \frac{8}{12} \)
- Simplify the fraction: \( \frac{8}{12} = \frac{2}{3} \)
Answer: \( \boxed{\frac{2}{3}} \)
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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 Susan had = 20 dollars
- Money spent on gas = 6 dollars
- Money spent on parking = 4 dollars
- Money spent on lunch = 4 dollars
- Total money spent = 6 + 4 + 4 = 14 dollars
- Money left = Total money - Total money spent = 20 - 14 = 6 dollars
- Fraction of money left = Money left / Total money = \( \frac{6}{20} \)
- Simplify the fraction: \( \frac{6}{20} = \frac{3}{10} \)
Answer: \( \boxed{\frac{3}{10}} \)
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There are 30 people in our class. 10 are women. What part of the class are men?
- Total people in the class = 30
- Number of women = 10
- Number of men = Total people - Number of women = 30 - 10 = 20
- Fraction of the class that are men = Number of men / Total people = \( \frac{20}{30} \)
- Simplify the fraction: \( \frac{20}{30} = \frac{2}{3} \)
Answer: \( \boxed{\frac{2}{3}} \)
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There are 24 cookies in the jar. 12 are coconut based. What fraction of the cookies is not coconut based?
- Total cookies = 24
- Coconut-based cookies = 12
- Non-coconut-based cookies = Total cookies - Coconut-based cookies = 24 - 12 = 12
- Fraction of non-coconut-based cookies = Non-coconut-based cookies / Total cookies = \( \frac{12}{24} \)
- Simplify the fraction: \( \frac{12}{24} = \frac{1}{2} \)
Answer: \( \boxed{\frac{1}{2}} \)
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1. \( \boxed{\frac{1}{2}} \)
2. \( \boxed{\frac{7}{12}} \)
3. \( \boxed{\frac{1}{4}} \)
4. \( \boxed{\frac{4}{9}} \)
5. \( \boxed{\frac{2}{5}} \)
6. \( \boxed{\frac{1}{3}} \)
7. \( \boxed{\frac{2}{3}} \)
8. \( \boxed{\frac{3}{10}} \)
9. \( \boxed{\frac{2}{3}} \)
10. \( \boxed{\frac{1}{2}} \)
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Problem 1:
There are 30 people in our class. 15 are women. What part of the class are men?
- Total people in the class = 30
- Number of women = 15
- Number of men = Total people - Number of women = 30 - 15 = 15
- Fraction of the class that are men = Number of men / Total people = \( \frac{15}{30} \)
- Simplify the fraction: \( \frac{15}{30} = \frac{1}{2} \)
Answer: \( \boxed{\frac{1}{2}} \)
---
Problem 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 cookies = 10
- Non-coconut-based cookies = Total cookies - Coconut-based cookies = 24 - 10 = 14
- Fraction of non-coconut-based cookies = Non-coconut-based cookies / Total cookies = \( \frac{14}{24} \)
- Simplify the fraction: \( \frac{14}{24} = \frac{7}{12} \)
Answer: \( \boxed{\frac{7}{12}} \)
---
Problem 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 to John's house = 8 miles
- Distance driven = 2 miles
- Fraction of the way driven = Distance driven / Total distance = \( \frac{2}{8} \)
- Simplify the fraction: \( \frac{2}{8} = \frac{1}{4} \)
Answer: \( \boxed{\frac{1}{4}} \)
---
Problem 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 to John's house = 18 miles
- Distance driven = 10 miles
- Distance left to go = Total distance - Distance driven = 18 - 10 = 8 miles
- Fraction of the way left = Distance left / Total distance = \( \frac{8}{18} \)
- Simplify the fraction: \( \frac{8}{18} = \frac{4}{9} \)
Answer: \( \boxed{\frac{4}{9}} \)
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Problem 5:
A cake had 10 slices. 6 were eaten. What fraction of the cake was left?
- Total slices = 10
- Slices eaten = 6
- Slices left = Total slices - Slices eaten = 10 - 6 = 4
- Fraction of the cake left = Slices left / Total slices = \( \frac{4}{10} \)
- Simplify the fraction: \( \frac{4}{10} = \frac{2}{5} \)
Answer: \( \boxed{\frac{2}{5}} \)
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Problem 6:
A pizza was cut into twenty-four slices. Eight were eaten. What fraction of the pizza was eaten?
- Total slices = 24
- Slices eaten = 8
- Fraction of the pizza eaten = Slices eaten / Total slices = \( \frac{8}{24} \)
- Simplify the fraction: \( \frac{8}{24} = \frac{1}{3} \)
Answer: \( \boxed{\frac{1}{3}} \)
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Problem 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
- Students who passed = 8
- Fraction of students who passed = Students who passed / Total students = \( \frac{8}{12} \)
- Simplify the fraction: \( \frac{8}{12} = \frac{2}{3} \)
Answer: \( \boxed{\frac{2}{3}} \)
---
Problem 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 Susan had = 20 dollars
- Money spent on gas = 6 dollars
- Money spent on parking = 4 dollars
- Money spent on lunch = 4 dollars
- Total money spent = 6 + 4 + 4 = 14 dollars
- Money left = Total money - Total money spent = 20 - 14 = 6 dollars
- Fraction of money left = Money left / Total money = \( \frac{6}{20} \)
- Simplify the fraction: \( \frac{6}{20} = \frac{3}{10} \)
Answer: \( \boxed{\frac{3}{10}} \)
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Problem 9:
There are 30 people in our class. 10 are women. What part of the class are men?
- Total people in the class = 30
- Number of women = 10
- Number of men = Total people - Number of women = 30 - 10 = 20
- Fraction of the class that are men = Number of men / Total people = \( \frac{20}{30} \)
- Simplify the fraction: \( \frac{20}{30} = \frac{2}{3} \)
Answer: \( \boxed{\frac{2}{3}} \)
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Problem 10:
There are 24 cookies in the jar. 12 are coconut based. What fraction of the cookies is not coconut based?
- Total cookies = 24
- Coconut-based cookies = 12
- Non-coconut-based cookies = Total cookies - Coconut-based cookies = 24 - 12 = 12
- Fraction of non-coconut-based cookies = Non-coconut-based cookies / Total cookies = \( \frac{12}{24} \)
- Simplify the fraction: \( \frac{12}{24} = \frac{1}{2} \)
Answer: \( \boxed{\frac{1}{2}} \)
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Final Answers:
1. \( \boxed{\frac{1}{2}} \)
2. \( \boxed{\frac{7}{12}} \)
3. \( \boxed{\frac{1}{4}} \)
4. \( \boxed{\frac{4}{9}} \)
5. \( \boxed{\frac{2}{5}} \)
6. \( \boxed{\frac{1}{3}} \)
7. \( \boxed{\frac{2}{3}} \)
8. \( \boxed{\frac{3}{10}} \)
9. \( \boxed{\frac{2}{3}} \)
10. \( \boxed{\frac{1}{2}} \)
Parent Tip: Review the logic above to help your child master the concept of 6th grade fraction word problems.