Multiplying Fractions by Whole Numbers Word Problems worksheet with real-world math exercises.

Problem: Multiplying Fractions by Whole Numbers Word Problems

The image contains several word problems involving the multiplication of fractions by whole numbers. Below, I will solve each problem step by step.

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#### Problem 1:
Kenneth is having a pizza party. Each person at the party will eat \( \frac{3}{8} \) of a pizza. If 6 people attend the party, how many pizzas does Kenneth need?

Solution:
1. Each person eats \( \frac{3}{8} \) of a pizza.
2. There are 6 people attending the party.
3. To find the total amount of pizza needed, multiply the fraction by the number of people:
\[
\text{Total pizza needed} = 6 \times \frac{3}{8}
\]
4. Perform the multiplication:
\[
6 \times \frac{3}{8} = \frac{6 \times 3}{8} = \frac{18}{8}
\]
5. Simplify the fraction \( \frac{18}{8} \):
\[
\frac{18}{8} = \frac{9}{4} = 2 \frac{1}{4}
\]
6. Since Kenneth cannot buy a fraction of a pizza, he needs to round up to the nearest whole number. Therefore, he needs 3 pizzas.

Answer:
\[
\boxed{3}
\]

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#### Problem 2:
Regina walked \( \frac{1}{4} \) of a mile each day for 8 days. How many miles did she walk in all?

Solution:
1. Regina walks \( \frac{1}{4} \) of a mile each day.
2. She walks for 8 days.
3. To find the total distance walked, multiply the fraction by the number of days:
\[
\text{Total distance} = 8 \times \frac{1}{4}
\]
4. Perform the multiplication:
\[
8 \times \frac{1}{4} = \frac{8 \times 1}{4} = \frac{8}{4} = 2
\]

Answer:
\[
\boxed{2}
\]

---

#### Problem 3:
Trina swam \( \frac{2}{5} \) of a mile on Monday, Wednesday, and Friday. How many miles did she swim on all three days?

Solution:
1. Trina swims \( \frac{2}{5} \) of a mile each day.
2. She swims on 3 days (Monday, Wednesday, and Friday).
3. To find the total distance swum, multiply the fraction by the number of days:
\[
\text{Total distance} = 3 \times \frac{2}{5}
\]
4. Perform the multiplication:
\[
3 \times \frac{2}{5} = \frac{3 \times 2}{5} = \frac{6}{5} = 1 \frac{1}{5}
\]

Answer:
\[
\boxed{1 \frac{1}{5}}
\]

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#### Problem 4:
Jack baked brownies. He is going to give each of his friends \( \frac{1}{6} \) of a pan. How many brownies does he need if he is giving to 5 friends?

Solution:
1. Jack gives \( \frac{1}{6} \) of a pan to each friend.
2. He has 5 friends.
3. To find the total amount of brownies needed, multiply the fraction by the number of friends:
\[
\text{Total brownies needed} = 5 \times \frac{1}{6}
\]
4. Perform the multiplication:
\[
5 \times \frac{1}{6} = \frac{5 \times 1}{6} = \frac{5}{6}
\]

Answer:
\[
\boxed{\frac{5}{6}}
\]

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#### Problem 5:
Tracey baked several pies for her family members. If each family member eats \( \frac{3}{5} \) of a pie, how many pies does she need to bake?

Solution:
This problem is incomplete because it does not specify the number of family members. Without this information, we cannot determine the total number of pies Tracey needs to bake. Please provide the number of family members to solve this problem.

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#### Problem 6:
Mrs. Smith cooked 3 pounds of broccoli for her family. If they ate \( \frac{2}{3} \) of it, how much did they eat?

Solution:
1. Mrs. Smith cooked 3 pounds of broccoli.
2. The family ate \( \frac{2}{3} \) of it.
3. To find the amount eaten, multiply the total weight by the fraction:
\[
\text{Amount eaten} = 3 \times \frac{2}{3}
\]
4. Perform the multiplication:
\[
3 \times \frac{2}{3} = \frac{3 \times 2}{3} = \frac{6}{3} = 2
\]

Answer:
\[
\boxed{2}
\]

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#### Problem 7:
One day it rained 6 inches. The next day it rained \( \frac{1}{3} \) the amount. How much did it rain the second day?

Solution:
1. On the first day, it rained 6 inches.
2. On the second day, it rained \( \frac{1}{3} \) of the amount from the first day.
3. To find the amount of rain on the second day, multiply the first day's rainfall by \( \frac{1}{3} \):
\[
\text{Rain on the second day} = 6 \times \frac{1}{3}
\]
4. Perform the multiplication:
\[
6 \times \frac{1}{3} = \frac{6 \times 1}{3} = \frac{6}{3} = 2
\]

Answer:
\[
\boxed{2}
\]

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Final Answers:

1. \(\boxed{3}\)
2. \(\boxed{2}\)
3. \(\boxed{1 \frac{1}{5}}\)
4. \(\boxed{\frac{5}{6}}\)
5. (Incomplete; requires the number of family members.)
6. \(\boxed{2}\)
7. \(\boxed{2}\)