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Math worksheet featuring word problems on multiplying fractions by whole numbers, with engaging illustrations.

A worksheet titled "Word Problems: Multiplying Fractions by Whole Numbers" with five math problems involving real-life scenarios, each accompanied by a small colorful illustration.

A worksheet titled "Word Problems: Multiplying Fractions by Whole Numbers" with five math problems involving real-life scenarios, each accompanied by a small colorful illustration.

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Show Answer Key & Explanations Step-by-step solution for: 4th Grade Math Word Problems: Free Worksheets with Answers ...
Let's solve each of these word problems step by step. These are all multiplying fractions by whole numbers problems.

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1.) James and four of his friends have ⅖ of a bag of candy. How many bags of candy do they have in total?



Step 1: Identify the key information
- James + 4 friends = 5 people
- Each person has ⅖ of a bag of candy

Step 2: Set up the multiplication
We need to find:
$ 5 \times \frac{2}{5} $

Step 3: Multiply
$$
5 \times \frac{2}{5} = \frac{5 \times 2}{5} = \frac{10}{5} = 2
$$

Answer: 2 bags of candy

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2.) Moses eats ⅔ of a sushi roll for lunch for three days in a row. How much sushi did he eat during those three days?



Step 1: Key info
- He eats ⅔ of a sushi roll per day
- For 3 days

Step 2: Multiply
$$
3 \times \frac{2}{3} = \frac{3 \times 2}{3} = \frac{6}{3} = 2
$$

Answer: 2 sushi rolls

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3.) Rick has 8 glass bottles that are ¾ filled with ketchup. If he pours all of the ketchup together, how many of the glass bottles can he fill completely?



Step 1: Key info
- 8 bottles
- Each is ¾ full
- We want to know how many full bottles can be made

Step 2: Multiply
Total ketchup = $ 8 \times \frac{3}{4} = \frac{8 \times 3}{4} = \frac{24}{4} = 6 $

So, he has enough ketchup to fill 6 full bottles.

Answer: 6 bottles

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4.) There are 15 people at a pizza party. If each person eats ⅛ of a pizza, how many pizzas will be needed to feed everyone at the party?



Step 1: Key info
- 15 people
- Each eats ⅛ of a pizza

Step 2: Multiply
$$
15 \times \frac{1}{8} = \frac{15}{8} = 1 \frac{7}{8}
$$

Since you can't order ⅞ of a pizza in practice (you need whole pizzas), you would need to round up to the next whole number.

Answer: 2 pizzas (because 1½ pizzas isn’t enough — 15/8 = 1.875, so you need 2 whole pizzas)

> Note: The question asks "how many pizzas will be needed" — this implies whole pizzas, so we round up.

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5.) Jeanie is a baker. She is using a chocolate cupcake recipe that calls for using ⅓ of a bag of cocoa powder to make one dozen cupcakes. How many bags of cocoa powder will she need if she wants to make 10 dozen chocolate cupcakes?



Step 1: Key info
- ⅓ bag per dozen cupcakes
- Want to make 10 dozen

Step 2: Multiply
$$
10 \times \frac{1}{3} = \frac{10}{3} = 3 \frac{1}{3}
$$

So she needs $ 3\frac{1}{3} $ bags of cocoa powder.

But since she can't buy a third of a bag unless specified, and assuming she must buy whole bags, she'd need to buy 4 bags.

However, the question says "how many bags... will she need" — if it’s just asking for the amount required (not necessarily whole bags), then:

Answer: $ \frac{10}{3} $ or $ 3\frac{1}{3} $ bags

> But if only whole bags are available, she’d need 4 bags.

Since the problem doesn’t specify buying whole bags, we assume it’s asking for the exact amount.

Answer: $ \frac{10}{3} $ or $ 3\frac{1}{3} $ bags

---

Final Answers:



1. 2 bags of candy
2. 2 sushi rolls
3. 6 glass bottles
4. 2 pizzas
5. $ \frac{10}{3} $ or $ 3\frac{1}{3} $ bags of cocoa powder

Let me know if you'd like the answers circled on the worksheet format!
Parent Tip: Review the logic above to help your child master the concept of 4th grade math worksheet multiplication word problems.
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