Word Problems Worksheets | Dynamically Created Word Problems - Free Printable

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

---

1) One teacher wants to give each student $\frac{2}{5}$ 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?

Solution:
We need to divide the total number of pizza slices (10) by the amount each student gets ($\frac{2}{5}$).

$$
\text{Number of students} = \frac{10}{\frac{2}{5}} = 10 \times \frac{5}{2} = \frac{50}{2} = 25
$$

✔ Answer: 25 students

---

2) If a turtle can move $\frac{1}{4}$ of a mile every hour, then how many hours would it take for a turtle to go 5 miles?

Solution:
Speed = $\frac{1}{4}$ mile per hour
Distance = 5 miles

Time = Distance ÷ Speed

$$
\text{Time} = \frac{5}{\frac{1}{4}} = 5 \times 4 = 20 \text{ hours}
$$

✔ Answer: 20 hours

---

3) Mary wants to make cookies. To make cookies, she needs $\frac{3}{4}$ 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?

Solution:
Divide total flour by flour per batch:

$$
\text{Batches} = \frac{6}{\frac{3}{4}} = 6 \times \frac{4}{3} = \frac{24}{3} = 8
$$

✔ Answer: 8 batches

---

4) Joan is cutting bows out of ribbon which will be used to wrap gifts. If Joan needs $\frac{7}{8}$ of a foot of ribbon to make a bow, and she has 7 feet of ribbon, then how many bows can Joan make?

Solution:
$$
\text{Number of bows} = \frac{7}{\frac{7}{8}} = 7 \times \frac{8}{7} = 8
$$

✔ Answer: 8 bows

---

5) In her backyard, Jess is planting rows of beans. To plant a row of beans, Jess needs $\frac{1}{7}$ square feet. There are 6 square feet in Jess's backyard, so how many rows of beans can Jess plant?

Solution:
$$
\text{Number of rows} = \frac{6}{\frac{1}{7}} = 6 \times 7 = 42
$$

✔ Answer: 42 rows

---

6) A group of friends decided to buy bulk chocolate from a candy store. If some friends each want $\frac{4}{5}$ of a kilogram of chocolate of the 5 kilograms of chocolate purchased, then how many people can get a share of chocolate?

Solution:
Total chocolate = 5 kg
Each person gets $\frac{4}{5}$ kg

$$
\text{Number of people} = \frac{5}{\frac{4}{5}} = 5 \times \frac{5}{4} = \frac{25}{4} = 6.25
$$

But you can't have a fraction of a person — only full shares. So we take the whole number part: 6 people (since 6 × $\frac{4}{5}$ = $\frac{24}{5}$ = 4.8 kg, and 7 × $\frac{4}{5}$ = 5.6 > 5)

✔ Answer: 6 people

---

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 $\frac{3}{10}$ of a mile around, then how many laps around the track will the athletes have to run to complete the race?

Solution:
$$
\text{Number of laps} = \frac{9}{\frac{3}{10}} = 9 \times \frac{10}{3} = \frac{90}{3} = 30
$$

✔ Answer: 30 laps

---

8) After Mike picked 5 melons, he wanted to share them with his fellow classmates. If Mike wants to give $\frac{5}{6}$ of a melon to each of his classmates, then how many classmates will get some melon?

Solution:
Total melons = 5
Each classmate gets $\frac{5}{6}$ of a melon

$$
\text{Number of classmates} = \frac{5}{\frac{5}{6}} = 5 \times \frac{6}{5} = 6
$$

✔ Answer: 6 classmates

---

9) One school purchased 9 gallons of blue paint to decorate several of its classrooms. If each classroom needs $\frac{3}{4}$ of a gallon of paint, then how many classrooms will get painted?

Solution:
$$
\text{Number of classrooms} = \frac{9}{\frac{3}{4}} = 9 \times \frac{4}{3} = \frac{36}{3} = 12
$$

✔ Answer: 12 classrooms

---

10) Sally made 8 pints of hot chocolate for her friends. If each of Sally's mugs holds $\frac{4}{5}$ of a pint of liquid, then how many friends will get hot chocolate?

Solution:
$$
\text{Number of friends} = \frac{8}{\frac{4}{5}} = 8 \times \frac{5}{4} = \frac{40}{4} = 10
$$

✔ Answer: 10 friends

---

✔ Final Answers:

1) 25
2) 20
3) 8
4) 8
5) 42
6) 6
7) 30
8) 6
9) 12
10) 10

All problems involve dividing a total quantity by a fractional amount per unit — this is a common theme in real-world division of fractions.

Let me know if you'd like these explained visually or with diagrams!