Math word problems worksheet featuring fraction-based questions for students.
A math worksheet titled "Word Problems" with ten fraction-based word problems, including scenarios like dividing pizza slices, calculating turtle travel time, and determining the number of cookie batches. The worksheet includes spaces for name, teacher, score, and date, and is from Math-Aids.com.
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Show Answer Key & Explanations
Step-by-step solution for: Word Problems Worksheets | Dynamically Created Word Problems
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Show Answer Key & Explanations
Step-by-step solution for: Word Problems Worksheets | Dynamically Created Word Problems
Here's the step-by-step solution to each word problem on the worksheet:
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1) One teacher wants to give each student ⅖ of a slice of pizza. If the teacher has 10 slices of pizza, then how many students will she be able to hand out pizza to?
→ This is a division problem: total slices ÷ slices per student.
Total slices = 10
Each student gets = ⅖ slice
Number of students = 10 ÷ (2/5) = 10 × (5/2) = 50/2 = 25 students
✔ Answer: 25
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2) If a turtle can move ¼ of a mile every hour, then how many hours would it take for a turtle to go 5 miles?
→ Time = Distance ÷ Speed
Distance = 5 miles
Speed = ¼ mile per hour
Time = 5 ÷ (1/4) = 5 × 4 = 20 hours
✔ Answer: 20
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3) Mary wants to make cookies. To make cookies, she needs ¾ of a cup of flour per batch of cookies. If Mary has 6 cups of flour, then how many batches of cookies can Mary make?
→ Batches = Total flour ÷ flour per batch
Total flour = 6 cups
Flour per batch = ¾ cup
Batches = 6 ÷ (3/4) = 6 × (4/3) = 24/3 = 8 batches
✔ Answer: 8
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4) Joan is cutting bows out of ribbon which will be used to wrap gifts. If Joan needs ⅞ of a foot of ribbon to make a bow, and she has 7 feet of ribbon, then how many bows can Joan make?
→ Bows = Total ribbon ÷ ribbon per bow
Total ribbon = 7 feet
Ribbon per bow = ⅞ foot
Bows = 7 ÷ (7/8) = 7 × (8/7) = 56/7 = 8 bows
✔ Answer: 8
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5) In her backyard, Jess is planting rows of beans. To plant a row of beans, Jess needs ½ square feet. There are 6 square feet in Jess’s backyard, so how many rows of beans can Jess plant?
→ Rows = Total area ÷ area per row
Total area = 6 sq ft
Area per row = ½ sq ft
Rows = 6 ÷ (1/2) = 6 × 2 = 12 rows
✔ Answer: 12
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6) A group of friends decided to buy bulk chocolate from a candy store. If some friends each want ⅖ of a kilogram of chocolate of the 5 kilograms of chocolate purchased, then how many people can get a share of chocolate?
→ People = Total chocolate ÷ chocolate per person
Total chocolate = 5 kg
Each person gets = ⅖ kg
People = 5 ÷ (2/5) = 5 × (5/2) = 25/2 = 12.5
But you can’t have half a person — so we take the whole number part: 12 people
*(Note: The problem doesn’t say partial shares are allowed, so we assume only full shares.)*
✔ Answer: 12
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7) One track coach wants her athletes to race 9 miles around a track to measure how fast each person can run. If the track is ³⁄₁₀ of a mile around, then how many laps around the track will the athletes have to run to complete the race?
→ Laps = Total distance ÷ distance per lap
Total distance = 9 miles
Lap distance = ³⁄₁₀ mile
Laps = 9 ÷ (3/10) = 9 × (10/3) = 90/3 = 30 laps
✔ Answer: 30
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8) After Mike picked 5 melons, he wanted to share them with his fellow classmates. If Mike wants to give ⅖ of a melon to each of his classmates, then how many classmates will get some melon?
→ Classmates = Total melons ÷ melon per classmate
Total melons = 5
Each gets = ⅖ melon
Classmates = 5 ÷ (2/5) = 5 × (5/2) = 25/2 = 12.5
Again, you can’t have half a classmate — so 12 classmates get full shares.
✔ Answer: 12
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9) One school purchased 9 gallons of blue paint to decorate several of its classrooms. If each classroom needs ¾ of a gallon of paint, then how many classrooms will get painted?
→ Classrooms = Total paint ÷ paint per classroom
Total paint = 9 gallons
Paint per classroom = ¾ gallon
Classrooms = 9 ÷ (3/4) = 9 × (4/3) = 36/3 = 12 classrooms
✔ Answer: 12
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10) Sally made 8 pints of hot chocolate for her friends. If each of Sally’s mugs holds ⁴⁄₅ of a pint of liquid, then how many friends will get hot chocolate?
→ Friends = Total hot chocolate ÷ amount per mug
Total = 8 pints
Per mug = ⁴⁄₅ pint
Friends = 8 ÷ (4/5) = 8 × (5/4) = 40/4 = 10 friends
✔ Answer: 10
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## ✔ Final Answers:
1) 25
2) 20
3) 8
4) 8
5) 12
6) 12
7) 30
8) 12
9) 12
10) 10
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💡 Key Concept: All problems involve dividing a total quantity by a fractional amount per unit, which means multiplying by the reciprocal of the fraction. This is a common real-world application of dividing fractions.
Let me know if you’d like a visual model or diagram for any of these!
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1) One teacher wants to give each student ⅖ of a slice of pizza. If the teacher has 10 slices of pizza, then how many students will she be able to hand out pizza to?
→ This is a division problem: total slices ÷ slices per student.
Total slices = 10
Each student gets = ⅖ slice
Number of students = 10 ÷ (2/5) = 10 × (5/2) = 50/2 = 25 students
✔ Answer: 25
---
2) If a turtle can move ¼ of a mile every hour, then how many hours would it take for a turtle to go 5 miles?
→ Time = Distance ÷ Speed
Distance = 5 miles
Speed = ¼ mile per hour
Time = 5 ÷ (1/4) = 5 × 4 = 20 hours
✔ Answer: 20
---
3) Mary wants to make cookies. To make cookies, she needs ¾ of a cup of flour per batch of cookies. If Mary has 6 cups of flour, then how many batches of cookies can Mary make?
→ Batches = Total flour ÷ flour per batch
Total flour = 6 cups
Flour per batch = ¾ cup
Batches = 6 ÷ (3/4) = 6 × (4/3) = 24/3 = 8 batches
✔ Answer: 8
---
4) Joan is cutting bows out of ribbon which will be used to wrap gifts. If Joan needs ⅞ of a foot of ribbon to make a bow, and she has 7 feet of ribbon, then how many bows can Joan make?
→ Bows = Total ribbon ÷ ribbon per bow
Total ribbon = 7 feet
Ribbon per bow = ⅞ foot
Bows = 7 ÷ (7/8) = 7 × (8/7) = 56/7 = 8 bows
✔ Answer: 8
---
5) In her backyard, Jess is planting rows of beans. To plant a row of beans, Jess needs ½ square feet. There are 6 square feet in Jess’s backyard, so how many rows of beans can Jess plant?
→ Rows = Total area ÷ area per row
Total area = 6 sq ft
Area per row = ½ sq ft
Rows = 6 ÷ (1/2) = 6 × 2 = 12 rows
✔ Answer: 12
---
6) A group of friends decided to buy bulk chocolate from a candy store. If some friends each want ⅖ of a kilogram of chocolate of the 5 kilograms of chocolate purchased, then how many people can get a share of chocolate?
→ People = Total chocolate ÷ chocolate per person
Total chocolate = 5 kg
Each person gets = ⅖ kg
People = 5 ÷ (2/5) = 5 × (5/2) = 25/2 = 12.5
But you can’t have half a person — so we take the whole number part: 12 people
*(Note: The problem doesn’t say partial shares are allowed, so we assume only full shares.)*
✔ Answer: 12
---
7) One track coach wants her athletes to race 9 miles around a track to measure how fast each person can run. If the track is ³⁄₁₀ of a mile around, then how many laps around the track will the athletes have to run to complete the race?
→ Laps = Total distance ÷ distance per lap
Total distance = 9 miles
Lap distance = ³⁄₁₀ mile
Laps = 9 ÷ (3/10) = 9 × (10/3) = 90/3 = 30 laps
✔ Answer: 30
---
8) After Mike picked 5 melons, he wanted to share them with his fellow classmates. If Mike wants to give ⅖ of a melon to each of his classmates, then how many classmates will get some melon?
→ Classmates = Total melons ÷ melon per classmate
Total melons = 5
Each gets = ⅖ melon
Classmates = 5 ÷ (2/5) = 5 × (5/2) = 25/2 = 12.5
Again, you can’t have half a classmate — so 12 classmates get full shares.
✔ Answer: 12
---
9) One school purchased 9 gallons of blue paint to decorate several of its classrooms. If each classroom needs ¾ of a gallon of paint, then how many classrooms will get painted?
→ Classrooms = Total paint ÷ paint per classroom
Total paint = 9 gallons
Paint per classroom = ¾ gallon
Classrooms = 9 ÷ (3/4) = 9 × (4/3) = 36/3 = 12 classrooms
✔ Answer: 12
---
10) Sally made 8 pints of hot chocolate for her friends. If each of Sally’s mugs holds ⁴⁄₅ of a pint of liquid, then how many friends will get hot chocolate?
→ Friends = Total hot chocolate ÷ amount per mug
Total = 8 pints
Per mug = ⁴⁄₅ pint
Friends = 8 ÷ (4/5) = 8 × (5/4) = 40/4 = 10 friends
✔ Answer: 10
---
## ✔ Final Answers:
1) 25
2) 20
3) 8
4) 8
5) 12
6) 12
7) 30
8) 12
9) 12
10) 10
---
💡 Key Concept: All problems involve dividing a total quantity by a fractional amount per unit, which means multiplying by the reciprocal of the fraction. This is a common real-world application of dividing fractions.
Let me know if you’d like a visual model or diagram for any of these!
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing fractions word problems worksheet.
