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 number of people
- James + 4 friends =
5 people
Step 2: Each has ⅖ of a bag
- So, total candy = $ 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: He eats ⅔ per day for 3 days
- Total = $ 3 \times \frac{2}{3} $
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: Each bottle is ¾ full
- Total ketchup = $ 8 \times \frac{3}{4} $
Step 2: Multiply
$$
8 \times \frac{3}{4} = \frac{8 \times 3}{4} = \frac{24}{4} = 6
$$
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: Each person eats ⅛ of a pizza
- Total pizzas = $ 15 \times \frac{1}{8} $
Step 2: Multiply
$$
15 \times \frac{1}{8} = \frac{15}{8} = 1\frac{7}{8}
$$
Since you can't buy ⅞ of a pizza, you need to
round up to make sure everyone is fed.
✔ Answer: 2 pizzas (since 1½ would not be enough, but 2 will cover it)
> 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 using a chocolate cupcake recipe that calls for using ¼ 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: One dozen → ¼ bag
- For 10 dozen → $ 10 \times \frac{1}{4} $
Step 2: Multiply
$$
10 \times \frac{1}{4} = \frac{10}{4} = \frac{5}{2} = 2\frac{1}{2}
$$
So, she needs
2½ bags of cocoa powder.
✔ Answer: 2½ bags
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✔ Final Answers:
1.
2 bags
2.
2 sushi rolls
3.
6 bottles
4.
2 pizzas
5.
2½ bags
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Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of math problems 4th grade worksheet.