Decimals Word Problems Multiplication and Division - Free Printable

Problem: Solve the word problems involving multiplication and division of decimals.

#### 1. One of the cats in the neighborhood had six kittens all about the same size. If each of the new kittens weighed about 5.5 ounces, how much would all the kittens weigh?

- Solution:
Each kitten weighs 5.5 ounces, and there are 6 kittens.
Total weight = \( 5.5 \times 6 \)
\( 5.5 \times 6 = 33 \) ounces.

- Answer:
\(\boxed{33}\) ounces.

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#### 2. Mr. Somers had twenty pieces of metal that were all the same length. If each piece of metal was 3.2 inches long and he put them side by side, what would be the total length of all the pieces together?

- Solution:
Each piece of metal is 3.2 inches long, and there are 20 pieces.
Total length = \( 3.2 \times 20 \)
\( 3.2 \times 20 = 64 \) inches.

- Answer:
\(\boxed{64}\) inches.

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#### 3. Linda started taking piano lessons. She had to practice 1.75 hours each day. If after only 8 days Linda decided she wanted to stop, how many hours did she take lessons?

- Solution:
Linda practiced 1.75 hours per day for 8 days.
Total hours = \( 1.75 \times 8 \)
\( 1.75 \times 8 = 14 \) hours.

- Answer:
\(\boxed{14}\) hours.

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#### 4. For one of their Science experiments the class used 10.5 quarts of water. If there were 7 groups doing the experiment and each group used the same amount of water, how many quarts of water did each group use?

- Solution:
The total amount of water used is 10.5 quarts, and it is divided equally among 7 groups.
Water per group = \( \frac{10.5}{7} \)
\( \frac{10.5}{7} = 1.5 \) quarts.

- Answer:
\(\boxed{1.5}\) quarts.

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#### 5. A bunch of neighborhood kids went on a hike through the nature center. The total mileage they walked was 38.4 miles. If each kid contributed 4.8 miles to the hike, how many kids went on the hike?

- Solution:
The total mileage is 38.4 miles, and each kid contributed 4.8 miles.
Number of kids = \( \frac{38.4}{4.8} \)
\( \frac{38.4}{4.8} = 8 \) kids.

- Answer:
\(\boxed{8}\) kids.

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#### 6. Luke’s mission was to pick up a new supply of qualons for the inhabitants of Plutarkia. Luke and his crew picked up 25 cases on qualons and put them aboard his ship. If the total weight of the qualons was 26.25 megatons and each case of qualons weighed the same, how much did each case of qualons weigh?

- Solution:
The total weight of the qualons is 26.25 megatons, and there are 25 cases.
Weight per case = \( \frac{26.25}{25} \)
\( \frac{26.25}{25} = 1.05 \) megatons.

- Answer:
\(\boxed{1.05}\) megatons.

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#### 7. Larry bought 15 pounds of candy to share with his friends. If he gave 2.5 pounds to each of his friends, how many friends did he share his candy with?

- Solution:
Larry has 15 pounds of candy, and he gives 2.5 pounds to each friend.
Number of friends = \( \frac{15}{2.5} \)
\( \frac{15}{2.5} = 6 \) friends.

- Answer:
\(\boxed{6}\) friends.

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#### 8. During the rainstorm last week Jackson and his sister wanted to see how much water they could collect from the rain. In order to do this they put out 12 three point five liter containers to catch the water in. If all the containers got filled four times, how many liters of water did they collect in all?

- Solution:
Each container holds 3.5 liters, and there are 12 containers. Each container was filled 4 times.
Total liters = \( 3.5 \times 12 \times 4 \)
First, calculate \( 3.5 \times 12 \):
\( 3.5 \times 12 = 42 \) liters (for one filling of all containers).
Then, multiply by 4:
\( 42 \times 4 = 168 \) liters.

- Answer:
\(\boxed{168}\) liters.

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#### 9. As part of her club activities Mrs. Walmart bought 10 jars of preserves to sell at the club carnival. If each jar of preserves was 9.95 ounces, how many ounces would Mrs. Walmart sell if she sold all the jars?

- Solution:
Each jar weighs 9.95 ounces, and there are 10 jars.
Total ounces = \( 9.95 \times 10 \)
\( 9.95 \times 10 = 99.5 \) ounces.

- Answer:
\(\boxed{99.5}\) ounces.

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#### 10. Lynn has 15 different color markers in her new case. The total weight of all the markers in the case is 37.50 ounces. If each felt marker is the same, how much does each of Lynn’s markers weigh?

- Solution:
The total weight of the markers is 37.50 ounces, and there are 15 markers.
Weight per marker = \( \frac{37.50}{15} \)
\( \frac{37.50}{15} = 2.5 \) ounces.

- Answer:
\(\boxed{2.5}\) ounces.

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#### 11. In Language Arts the class was assigned to write a team paper. Each team was to write 5.5 pages for the combined paper. When all the teams put their papers together, there was a total of 44 pages. How many teams had worked on this paper?

- Solution:
Each team wrote 5.5 pages, and the total number of pages is 44.
Number of teams = \( \frac{44}{5.5} \)
\( \frac{44}{5.5} = 8 \) teams.

- Answer:
\(\boxed{8}\) teams.

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#### 12. Jason was in the process of writing a story for a school contest. So far he has completed 10.25 pages of this story. On the average each page has taken him 1.5 hours to write. How much time has Jason already put into writing his story?

- Solution:
Jason has written 10.25 pages, and each page takes 1.5 hours.
Total time = \( 10.25 \times 1.5 \)
\( 10.25 \times 1.5 = 15.375 \) hours.

- Answer:
\(\boxed{15.375}\) hours.

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#### 13. Tom ran a complete mile. Sarah ran 2.5 miles. Mike ran half of what Sarah ran and Lisa ran half of what Mike ran. What part of a mile did Lisa run? (in decimals)

- Solution:
- Sarah ran 2.5 miles.
- Mike ran half of what Sarah ran:
\( \text{Mike's distance} = \frac{2.5}{2} = 1.25 \) miles.
- Lisa ran half of what Mike ran:
\( \text{Lisa's distance} = \frac{1.25}{2} = 0.625 \) miles.

- Answer:
\(\boxed{0.625}\) miles.

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Final Answers:

1. \(\boxed{33}\)
2. \(\boxed{64}\)
3. \(\boxed{14}\)
4. \(\boxed{1.5}\)
5. \(\boxed{8}\)
6. \(\boxed{1.05}\)
7. \(\boxed{6}\)
8. \(\boxed{168}\)
9. \(\boxed{99.5}\)
10. \(\boxed{2.5}\)
11. \(\boxed{8}\)
12. \(\boxed{15.375}\)
13. \(\boxed{0.625}\)