Fractions word problems with four operations worksheets - Math ... - Free Printable

Let's solve each of these fraction word problems step by step.

---

Problem 1:

A pan of brownies was left out on the counter and 1/4 of the brownies had already been eaten. Then John came along and ate 2/3 of the brownies that were left. How much of the whole pan of brownies did John eat?

Step 1: Determine how much was left after 1/4 was eaten.

- Whole pan = 1
- Eaten before John: 1/4
- Left: $ 1 - \frac{1}{4} = \frac{3}{4} $

Step 2: John ate 2/3 of the remaining 3/4.

- $ \frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2} $

✔ Answer: John ate 1/2 of the whole pan of brownies.

---

Problem 2:

You have 6 donuts and you want to give 2/3 of them to a friend and keep 1/3 for yourself. How many donuts would your friend get?

- Total donuts = 6
- Friend gets: $ \frac{2}{3} \times 6 = \frac{12}{3} = 4 $

✔ Answer: Your friend gets 4 donuts.

---

Problem 3:

A baker is making cakes for a big party. She uses 1/4 cup of oil for each cake. How many cakes can she make if she has a bottle of oil that has 15 cups in it?

- Oil per cake = 1/4 cup
- Total oil = 15 cups
- Number of cakes = $ 15 \div \frac{1}{4} = 15 \times 4 = 60 $

✔ Answer: She can make 60 cakes.

---

Problem 4:

The serving size for the granola that Wilma likes to eat for breakfast is 1/2 cup. How many servings are there in a box that holds 32 cups?

- Serving size = 1/2 cup
- Total = 32 cups
- Number of servings = $ 32 \div \frac{1}{2} = 32 \times 2 = 64 $

✔ Answer: There are 64 servings.

---

Problem 5:

Mrs. Smith’s class is making vests. Each vest uses 2/3 of a yard of fabric. How many vests can they make out of 18 yards of fabric?

- Fabric per vest = 2/3 yard
- Total fabric = 18 yards
- Number of vests = $ 18 \div \frac{2}{3} = 18 \times \frac{3}{2} = \frac{54}{2} = 27 $

✔ Answer: They can make 27 vests.

---

Problem 6:

There was a bowl with 120 candies in it. Billy, Bob and Buck found the bowl. Billy ate 2/12 of the candies, Bob ate 3/12 and Buck had 5/12. How many candies were left?

Step 1: Add up the fractions eaten:

- $ \frac{2}{12} + \frac{3}{12} + \frac{5}{12} = \frac{10}{12} = \frac{5}{6} $

Step 2: Find how many candies were eaten:

- $ \frac{5}{6} \times 120 = \frac{5 \times 120}{6} = \frac{600}{6} = 100 $

Step 3: Subtract from total:

- $ 120 - 100 = 20 $

✔ Answer: 20 candies were left.

---

✔ Final Answers:

1. 1/2 of the pan
2. 4 donuts
3. 60 cakes
4. 64 servings
5. 27 vests
6. 20 candies left

Let me know if you'd like these explained visually or with diagrams!