Printable fractions worksheet featuring six word problems to help students apply fraction concepts in everyday situations.

Let's solve each problem step by step.

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Problem 1:

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

#### Solution:
1. Initially, \( \frac{1}{4} \) of the brownies were eaten, so \( \frac{3}{4} \) of the brownies remained.
2. John ate \( \frac{2}{3} \) of the remaining brownies. The amount John ate is:
\[
\text{John's portion} = \frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2}
\]
3. Therefore, John ate \( \frac{1}{2} \) of the whole pan of brownies.

Answer: \( \boxed{\frac{1}{2}} \)

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Problem 2:

You have 6 donuts and you want to give \( \frac{2}{3} \) of them to a friend and keep \( \frac{1}{3} \) for yourself. How many donuts would your friend get?

#### Solution:
1. You have 6 donuts in total.
2. Your friend gets \( \frac{2}{3} \) of the donuts:
\[
\text{Donuts for friend} = \frac{2}{3} \times 6 = \frac{2 \times 6}{3} = \frac{12}{3} = 4
\]

Answer: \( \boxed{4} \)

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Problem 3:

A baker is making cakes for a big party. She uses \( \frac{1}{4} \) 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?

#### Solution:
1. Each cake requires \( \frac{1}{4} \) cup of oil.
2. To find out how many cakes can be made with 15 cups of oil, divide the total oil by the oil needed per cake:
\[
\text{Number of cakes} = \frac{15}{\frac{1}{4}} = 15 \times 4 = 60
\]

Answer: \( \boxed{60} \)

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Problem 4:

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

#### Solution:
1. Each serving is \( \frac{1}{2} \) cup.
2. To find the number of servings in 32 cups, divide the total amount of granola by the serving size:
\[
\text{Number of servings} = \frac{32}{\frac{1}{2}} = 32 \times 2 = 64
\]

Answer: \( \boxed{64} \)

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Problem 5:

Mrs. Smith's class is making vests. Each vest uses \( \frac{2}{3} \) of a yard of fabric. How many vests can they make out of 18 yards of fabric?

#### Solution:
1. Each vest requires \( \frac{2}{3} \) yard of fabric.
2. To find the number of vests that can be made with 18 yards of fabric, divide the total fabric by the fabric needed per vest:
\[
\text{Number of vests} = \frac{18}{\frac{2}{3}} = 18 \times \frac{3}{2} = \frac{18 \times 3}{2} = \frac{54}{2} = 27
\]

Answer: \( \boxed{27} \)

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Problem 6:

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

#### Solution:
1. Billy ate \( \frac{2}{12} \) of the candies:
\[
\text{Candies eaten by Billy} = \frac{2}{12} \times 120 = \frac{2 \times 120}{12} = \frac{240}{12} = 20
\]
2. Bob ate \( \frac{3}{12} \) of the candies:
\[
\text{Candies eaten by Bob} = \frac{3}{12} \times 120 = \frac{3 \times 120}{12} = \frac{360}{12} = 30
\]
3. Buck ate \( \frac{5}{12} \) of the candies:
\[
\text{Candies eaten by Buck} = \frac{5}{12} \times 120 = \frac{5 \times 120}{12} = \frac{600}{12} = 50
\]
4. Total candies eaten by all three:
\[
\text{Total candies eaten} = 20 + 30 + 50 = 100
\]
5. Candies left in the bowl:
\[
\text{Candies left} = 120 - 100 = 20
\]

Answer: \( \boxed{20} \)

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Final Answers:

1. \( \boxed{\frac{1}{2}} \)
2. \( \boxed{4} \)
3. \( \boxed{60} \)
4. \( \boxed{64} \)
5. \( \boxed{27} \)
6. \( \boxed{20} \)