4th Grade Math Word Problems: Free Worksheets with Answers ... - Free Printable

Here is the step-by-step solution to each word problem on the worksheet, following the directions to show all work and circle the final answer.

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

- Key Information: There are 5 people total (James + 4 friends). Each has ⅖ of a bag.
- Operation: Multiply the number of people by the fraction of a bag each has.
- Calculation:
\[
5 \times \frac{2}{5} = \frac{5 \times 2}{5} = \frac{10}{5} = 2
\]
- Answer: They have 2 bags of candy in total.

✔ Circled Answer: 2

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Problem 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?

- Key Information: He eats ⅔ of a roll per day for 3 days.
- Operation: Multiply the daily amount by the number of days.
- Calculation:
\[
3 \times \frac{2}{3} = \frac{3 \times 2}{3} = \frac{6}{3} = 2
\]
- Answer: He ate 2 sushi rolls in total.

✔ Circled Answer: 2

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Problem 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?

- Key Information: 8 bottles, each ¾ full. We want to know how many *full* bottles this equals.
- Operation: Multiply the number of bottles by the fraction filled.
- Calculation:
\[
8 \times \frac{3}{4} = \frac{8 \times 3}{4} = \frac{24}{4} = 6
\]
- Answer: He can fill 6 glass bottles completely.

✔ Circled Answer: 6

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Problem 4:
> There are 15 people at a pizza party. If each person eats ³⁄₁₆ of a pizza, how many pizzas will be needed to feed everyone at the party?

- Key Information: 15 people, each eats ³⁄₁₆ of a pizza.
- Operation: Multiply number of people by fraction per person.
- Calculation:
\[
15 \times \frac{3}{16} = \frac{15 \times 3}{16} = \frac{45}{16}
\]
- Convert to mixed number:
\[
\frac{45}{16} = 2 \frac{13}{16}
\]
- Interpretation: Since you can’t serve a fraction of a pizza without having a whole one available, you must round up to the next whole pizza to feed everyone.
- Answer: You need 3 pizzas.

✔ Circled Answer: 3

*(Note: Although mathematically the total consumption is 2 13/16 pizzas, in real-world context, you need to provide 3 whole pizzas to ensure everyone gets their share.)*

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Problem 5:
> Jeanie is a baker. She 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?

- Key Information: ¼ bag per dozen cupcakes. She wants to make 10 dozen.
- Operation: Multiply the number of dozens by the fraction of bag needed per dozen.
- Calculation:
\[
10 \times \frac{1}{4} = \frac{10 \times 1}{4} = \frac{10}{4} = \frac{5}{2} = 2 \frac{1}{2}
\]
- Answer: She needs 2 ½ bags of cocoa powder.

✔ Circled Answer: 2 ½ or \(\frac{5}{2}\)

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✔ Final Answers Summary:

1. 2
2. 2
3. 6
4. 3
5. 2 ½

All problems involve multiplying a fraction by a whole number. Remember to simplify fractions and interpret results in context (like rounding up for pizzas)!