Math word problems worksheet with fraction calculations for students.

Here are the step-by-step solutions for each word problem on the worksheet.

1) Pizza Slices
* Problem: The teacher has 10 slices. Each student gets $\frac{2}{5}$ of a slice. How many students?
* Step 1: To find out how many students can be served, divide the total amount of pizza by the amount each student gets: $10 \div \frac{2}{5}$.
* Step 2: To divide by a fraction, multiply by its reciprocal (flip the fraction). So, $10 \times \frac{5}{2}$.
* Step 3: Multiply the whole number by the numerator: $10 \times 5 = 50$.
* Step 4: Divide by the denominator: $50 \div 2 = 25$.
* Answer: 25 students.

2) Turtle Speed
* Problem: A turtle moves $\frac{1}{7}$ mile per hour. How long to go 5 miles?
* Step 1: Divide the total distance by the speed: $5 \div \frac{1}{7}$.
* Step 2: Multiply by the reciprocal: $5 \times \frac{7}{1}$.
* Step 3: $5 \times 7 = 35$.
* Answer: 35 hours.

3) Making Cookies
* Problem: Mary needs $\frac{3}{4}$ cup of flour per batch. She has 6 cups. How many batches?
* Step 1: Divide the total flour by the flour needed per batch: $6 \div \frac{3}{4}$.
* Step 2: Multiply by the reciprocal: $6 \times \frac{4}{3}$.
* Step 3: $6 \times 4 = 24$. Then divide by 3: $24 \div 3 = 8$.
* Answer: 8 batches.

4) Ribbon Bows
* Problem: Joan needs $\frac{7}{8}$ foot of ribbon per bow. She has 7 feet. How many bows?
* Step 1: Divide total ribbon by ribbon per bow: $7 \div \frac{7}{8}$.
* Step 2: Multiply by the reciprocal: $7 \times \frac{8}{7}$.
* Step 3: The 7s cancel out ($7 \div 7 = 1$), leaving just 8. Or calculate: $56 \div 7 = 8$.
* Answer: 8 bows.

5) Planting Beans
* Problem: One row needs $\frac{1}{7}$ square feet. Jess has 6 square feet. How many rows?
* Step 1: Divide total area by area per row: $6 \div \frac{1}{7}$.
* Step 2: Multiply by the reciprocal: $6 \times \frac{7}{1}$.
* Step 3: $6 \times 7 = 42$.
* Answer: 42 rows.

6) Sharing Chocolate
* Problem: Friends want $\frac{5}{7}$ kg each. There are 5 kg total. How many people?
* Step 1: Divide total chocolate by share size: $5 \div \frac{5}{7}$.
* Step 2: Multiply by the reciprocal: $5 \times \frac{7}{5}$.
* Step 3: The 5s cancel out, leaving 7. Or calculate: $35 \div 5 = 7$.
* Answer: 7 people.

7) Running Laps
* Problem: Race is 9 miles. Track is $\frac{3}{10}$ mile around. How many laps?
* Step 1: Divide total distance by track length: $9 \div \frac{3}{10}$.
* Step 2: Multiply by the reciprocal: $9 \times \frac{10}{3}$.
* Step 3: First, simplify: $9 \div 3 = 3$. Then multiply: $3 \times 10 = 30$.
* Answer: 30 laps.

8) Sharing Melons
* Problem: Mike has 5 melons. He gives $\frac{5}{7}$ of a melon to each classmate. How many classmates?
* Step 1: Divide total melons by share size: $5 \div \frac{5}{7}$.
* Step 2: Multiply by the reciprocal: $5 \times \frac{7}{5}$.
* Step 3: The 5s cancel out, leaving 7.
* Answer: 7 classmates.

9) Painting Classrooms
* Problem: School has 9 gallons of paint. Each room needs $\frac{3}{4}$ gallon. How many rooms?
* Step 1: Divide total paint by paint per room: $9 \div \frac{3}{4}$.
* Step 2: Multiply by the reciprocal: $9 \times \frac{4}{3}$.
* Step 3: Simplify first: $9 \div 3 = 3$. Then multiply: $3 \times 4 = 12$.
* Answer: 12 classrooms.

10) Hot Chocolate Mugs
* Problem: Sally has 8 pints. Each mug holds $\frac{4}{5}$ pint. How many friends?
* Step 1: Divide total liquid by mug size: $8 \div \frac{4}{5}$.
* Step 2: Multiply by the reciprocal: $8 \times \frac{5}{4}$.
* Step 3: Simplify first: $8 \div 4 = 2$. Then multiply: $2 \times 5 = 10$.
* Answer: 10 friends.

Final Answer:
1) 25
2) 35
3) 8
4) 8
5) 42
6) 7
7) 30
8) 7
9) 12
10) 10