Multiplying Fractions by Whole Numbers: Word Problems Worksheet

Problem Analysis and Solution

The task involves solving word problems that require multiplying fractions by whole numbers. Let's solve each problem step by step.

---

#### Problem 1:
Jay works at a sandwich shop. He needs to make 7 turkey sandwiches. Each sandwich will have 1/3 of a pound of turkey. How many pounds of turkey will Jay need to make the sandwiches?

- Step 1: Identify the given information.
- Number of sandwiches: 7
- Turkey per sandwich: \( \frac{1}{3} \) pound

- Step 2: Set up the multiplication.
- Total turkey needed = Number of sandwiches × Turkey per sandwich
- \( \text{Total turkey} = 7 \times \frac{1}{3} \)

- Step 3: Perform the multiplication.
- \( 7 \times \frac{1}{3} = \frac{7}{3} \)
- Convert \( \frac{7}{3} \) to a mixed number: \( \frac{7}{3} = 2 \frac{1}{3} \)

- Answer: Jay will need \( 2 \frac{1}{3} \) pounds of turkey.

---

#### Problem 2:
Mrs. Jones is baking 7 cakes for a bake sale. The cake recipe calls for 3/8 cup of sugar for each cake. How many cups of sugar will she need in all?

- Step 1: Identify the given information.
- Number of cakes: 7
- Sugar per cake: \( \frac{3}{8} \) cup

- Step 2: Set up the multiplication.
- Total sugar needed = Number of cakes × Sugar per cake
- \( \text{Total sugar} = 7 \times \frac{3}{8} \)

- Step 3: Perform the multiplication.
- \( 7 \times \frac{3}{8} = \frac{7 \times 3}{8} = \frac{21}{8} \)
- Convert \( \frac{21}{8} \) to a mixed number: \( \frac{21}{8} = 2 \frac{5}{8} \)

- Answer: Mrs. Jones will need \( 2 \frac{5}{8} \) cups of sugar.

---

#### Problem 3:
Mr. Kohonen uses 1/8 of a cup of laundry detergent when he does a load of wash. How many cups will he need to do 4 loads?

- Step 1: Identify the given information.
- Detergent per load: \( \frac{1}{8} \) cup
- Number of loads: 4

- Step 2: Set up the multiplication.
- Total detergent needed = Number of loads × Detergent per load
- \( \text{Total detergent} = 4 \times \frac{1}{8} \)

- Step 3: Perform the multiplication.
- \( 4 \times \frac{1}{8} = \frac{4}{8} \)
- Simplify \( \frac{4}{8} \): \( \frac{4}{8} = \frac{1}{2} \)

- Answer: Mr. Kohonen will need \( \frac{1}{2} \) cup of detergent.

---

#### Problem 4:
A stick of butter weighs a quarter pound. How much do 13 sticks of butter weigh?

- Step 1: Identify the given information.
- Weight of one stick of butter: \( \frac{1}{4} \) pound
- Number of sticks: 13

- Step 2: Set up the multiplication.
- Total weight = Number of sticks × Weight per stick
- \( \text{Total weight} = 13 \times \frac{1}{4} \)

- Step 3: Perform the multiplication.
- \( 13 \times \frac{1}{4} = \frac{13}{4} \)
- Convert \( \frac{13}{4} \) to a mixed number: \( \frac{13}{4} = 3 \frac{1}{4} \)

- Answer: The total weight of 13 sticks of butter is \( 3 \frac{1}{4} \) pounds.

---

Final Answers:

1. \( \boxed{2 \frac{1}{3}} \)
2. \( \boxed{2 \frac{5}{8}} \)
3. \( \boxed{\frac{1}{2}} \)
4. \( \boxed{3 \frac{1}{4}} \)