Fraction word problems worksheet themed around pizza toppings and consumption, designed for K-12 math practice.

Let's solve each of the word problems step by step. These involve adding and subtracting fractions, so we'll make sure to find common denominators, simplify where needed, and clearly show our work.

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Problem 1:

A pizza is covered with multiple toppings.
- $ \frac{1}{4} $ of the pizza is covered in mushrooms.
- $ \frac{1}{8} $ of the pizza is covered with onions.
- The rest is covered with only cheese.

Question: What fraction of the pizza is covered with only cheese?

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#### Step 1: Add the fractions for mushrooms and onions
We need to add:
$$
\frac{1}{4} + \frac{1}{8}
$$

Find a common denominator (LCM of 4 and 8 is 8):
$$
\frac{1}{4} = \frac{2}{8}
$$
So:
$$
\frac{2}{8} + \frac{1}{8} = \frac{3}{8}
$$

#### Step 2: Subtract from the whole pizza
The whole pizza is $ \frac{8}{8} $. So:
$$
\frac{8}{8} - \frac{3}{8} = \frac{5}{8}
$$

✔ Answer: $ \boxed{\frac{5}{8}} $ of the pizza is covered with only cheese.

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Problem 2:

Mario has $ \frac{15}{16} $ of a pineapple pizza in his refrigerator. He orders 2 more pineapple pizzas. He eats $ 1\frac{1}{16} $ of his pizza for lunch. How much pizza does he have left?

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#### Step 1: Total pizza Mario has before eating
He starts with:
- $ \frac{15}{16} $ (in fridge)
- Plus 2 whole pizzas

So total:
$$
\frac{15}{16} + 2 = 2 + \frac{15}{16} = \frac{32}{16} + \frac{15}{16} = \frac{47}{16}
$$

#### Step 2: Subtract what he ate
He eats $ 1\frac{1}{16} = \frac{17}{16} $

Now subtract:
$$
\frac{47}{16} - \frac{17}{16} = \frac{30}{16}
$$

Simplify:
$$
\frac{30}{16} = \frac{15}{8} = 1\frac{7}{8}
$$

✔ Answer: $ \boxed{1\frac{7}{8}} $ of a pizza left.

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Problem 3:

Rej has $ 4\frac{7}{12} $ pizzas, but $ 2\frac{1}{12} $ of them have no toppings. How many of Rej’s pizzas have toppings?

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This is a subtraction problem:
$$
4\frac{7}{12} - 2\frac{1}{12}
$$

Convert to improper fractions or subtract directly:

$$
(4 - 2) + \left(\frac{7}{12} - \frac{1}{12}\right) = 2 + \frac{6}{12} = 2 + \frac{1}{2} = 2\frac{1}{2}
$$

✔ Answer: $ \boxed{2\frac{1}{2}} $ pizzas have toppings.

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Problem 4:

Elena baked 4 pizzas for a dinner party. She topped $ 2\frac{1}{2} $ of the pizzas with hot peppers and $ \frac{3}{4} $ of the pizzas with mushrooms. She put cold pineapple slices on the rest of the pizza. How much of her pizza was topped with cold pineapple slices?

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Total pizzas: 4

She used:
- $ 2\frac{1}{2} = \frac{5}{2} $
- $ \frac{3}{4} $

Add these:
$$
\frac{5}{2} + \frac{3}{4}
$$

Common denominator: 4
$$
\frac{5}{2} = \frac{10}{4}, \quad \frac{10}{4} + \frac{3}{4} = \frac{13}{4}
$$

Total used for hot peppers and mushrooms: $ \frac{13}{4} $

Total pizzas: $ 4 = \frac{16}{4} $

Subtract:
$$
\frac{16}{4} - \frac{13}{4} = \frac{3}{4}
$$

✔ Answer: $ \boxed{\frac{3}{4}} $ of the pizzas had cold pineapple slices.

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Problem 5:

Tucker baked $ 2\frac{1}{2} $ pizzas and ordered another $ \frac{5}{6} $ of a pizza. If he shares $ 1\frac{1}{3} $ of his pizza with his friends, how much pizza does he have left over?

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#### Step 1: Total pizza Tucker has
$$
2\frac{1}{2} + \frac{5}{6}
$$

Convert $ 2\frac{1}{2} = \frac{5}{2} $

Now:
$$
\frac{5}{2} + \frac{5}{6}
$$

Common denominator: 6
$$
\frac{5}{2} = \frac{15}{6}, \quad \frac{15}{6} + \frac{5}{6} = \frac{20}{6} = \frac{10}{3} = 3\frac{1}{3}
$$

#### Step 2: Subtract what he shared
He shared $ 1\frac{1}{3} = \frac{4}{3} $

Now:
$$
\frac{10}{3} - \frac{4}{3} = \frac{6}{3} = 2
$$

✔ Answer: $ \boxed{2} $ whole pizzas left.

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✔ Final Answers Summary:

1. $ \boxed{\frac{5}{8}} $
2. $ \boxed{1\frac{7}{8}} $
3. $ \boxed{2\frac{1}{2}} $
4. $ \boxed{\frac{3}{4}} $
5. $ \boxed{2} $

Let me know if you'd like this formatted as a printable answer sheet!