Fraction Word Problems worksheet with 12 math problems for students to solve, featuring real-world scenarios involving fractions.

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

1) Rachel was packing up some of her old stuff into a box. A box can hold eight pounds, but she only filled it up two-quarters full. How much weight was in the box?
* Step 1: The total capacity is 8 pounds.
* Step 2: She filled it $\frac{2}{4}$ full. First, simplify the fraction $\frac{2}{4}$ to $\frac{1}{2}$.
* Step 3: Find half of 8. $8 \div 2 = 4$.
* Answer: 4 pounds.

2) A chef cooked seven kilograms of mashed potatoes for a dinner party. If the guests only ate three-quarters of the amount he cooked, how much did they eat?
* Step 1: The total amount is 7 kg.
* Step 2: They ate $\frac{3}{4}$ of it. Multiply 7 by $\frac{3}{4}$.
* Step 3: $7 \times 3 = 21$. Then divide by 4.
* Step 4: $21 \div 4 = 5$ with a remainder of 1. This is written as $5 \frac{1}{4}$.
* Answer: $5 \frac{1}{4}$ kilograms (or 5.25 kg).

3) A pitcher could hold two-twelfths of a gallon of water. If Roger filled up nine pitchers, how much water would he have?
* Step 1: One pitcher holds $\frac{2}{12}$ gallon. Simplify this fraction to $\frac{1}{6}$.
* Step 2: He has 9 pitchers. Multiply 9 by $\frac{1}{6}$.
* Step 3: $\frac{9}{6}$. Both numbers can be divided by 3.
* Step 4: $\frac{9 \div 3}{6 \div 3} = \frac{3}{2}$. Convert this improper fraction to a mixed number: $1 \frac{1}{2}$.
* Answer: $1 \frac{1}{2}$ gallons.

4) Will ran four miles on his first day of training. The next day he ran one-third that distance. How far did he run the second day?
* Step 1: First day distance is 4 miles.
* Step 2: Second day is $\frac{1}{3}$ of 4.
* Step 3: $4 \times \frac{1}{3} = \frac{4}{3}$.
* Step 4: Convert $\frac{4}{3}$ to a mixed number: $1 \frac{1}{3}$.
* Answer: $1 \frac{1}{3}$ miles.

5) Billy stacked six pieces of wood on top of one another. If each piece was three-quarters of a foot tall, how tall was his pile?
* Step 1: There are 6 pieces. Each is $\frac{3}{4}$ foot tall.
* Step 2: Multiply 6 by $\frac{3}{4}$.
* Step 3: $6 \times 3 = 18$. So, $\frac{18}{4}$.
* Step 4: Divide 18 by 4. It goes in 4 times ($4 \times 4 = 16$) with 2 left over. So, $4 \frac{2}{4}$.
* Step 5: Simplify $\frac{2}{4}$ to $\frac{1}{2}$.
* Answer: $4 \frac{1}{2}$ feet.

6) Debby needed one-third of a cup of water for 1 flower. If she had nine flowers how many cups would she need?
* Step 1: 1 flower needs $\frac{1}{3}$ cup.
* Step 2: 9 flowers need $9 \times \frac{1}{3}$.
* Step 3: $\frac{9}{3} = 3$.
* Answer: 3 cups.

7) On Monday it snowed nine inches. The next day it snowed one-half that amount. How much did it snow on the second day?
* Step 1: Monday was 9 inches.
* Step 2: Tuesday was $\frac{1}{2}$ of 9.
* Step 3: $9 \div 2 = 4.5$ or $4 \frac{1}{2}$.
* Answer: $4 \frac{1}{2}$ inches.

8) A farmer gives each of his horses one-sixth of a salt lick a month. If he has seven horses, how many salt licks does he use a month?
* Step 1: Each horse gets $\frac{1}{6}$ lick.
* Step 2: There are 7 horses. Multiply $7 \times \frac{1}{6}$.
* Step 3: Result is $\frac{7}{6}$.
* Step 4: Convert to a mixed number: $1 \frac{1}{6}$.
* Answer: $1 \frac{1}{6}$ salt licks.

9) Each day a company used seven-tenths of a box of paper. How many boxes would they have used after three days?
* Step 1: Daily usage is $\frac{7}{10}$ box.
* Step 2: For 3 days, multiply $3 \times \frac{7}{10}$.
* Step 3: $3 \times 7 = 21$. Result is $\frac{21}{10}$.
* Step 4: Convert to a mixed number: $2 \frac{1}{10}$.
* Answer: $2 \frac{1}{10}$ boxes.

10) A group of seven friends each received one-half of a pound of candy. How much candy did they receive total?
* Step 1: 7 friends. Each gets $\frac{1}{2}$ pound.
* Step 2: Multiply $7 \times \frac{1}{2}$.
* Step 3: Result is $\frac{7}{2}$.
* Step 4: Convert to a mixed number: $3 \frac{1}{2}$.
* Answer: $3 \frac{1}{2}$ pounds.

11) A dog groomer could clean six dogs in an hour. How many could they clean in five-tenths of an hour?
* Step 1: Rate is 6 dogs per hour. Time is $\frac{5}{10}$ hour.
* Step 2: Simplify $\frac{5}{10}$ to $\frac{1}{2}$.
* Step 3: Find half of 6. $6 \div 2 = 3$.
* Answer: 3 dogs.

12) A bakery used three cups of flour to make a full size cake. If they wanted to make a cake that was one-half the size, how many cups of flour would they need?
* Step 1: Full cake needs 3 cups.
* Step 2: Half-size cake needs $\frac{1}{2}$ of 3.
* Step 3: $3 \div 2 = 1.5$ or $1 \frac{1}{2}$.
* Answer: $1 \frac{1}{2}$ cups.

Final Answer:
1. 4 pounds
2. $5 \frac{1}{4}$ kilograms
3. $1 \frac{1}{2}$ gallons
4. $1 \frac{1}{3}$ miles
5. $4 \frac{1}{2}$ feet
6. 3 cups
7. $4 \frac{1}{2}$ inches
8. $1 \frac{1}{6}$ salt licks
9. $2 \frac{1}{10}$ boxes
10. $3 \frac{1}{2}$ pounds
11. 3 dogs
12. $1 \frac{1}{2}$ cups