5th Grade Math Word Problems: Free Worksheets with Answers ... - Free Printable

Let's solve each problem step by step.

---

Problem 1:

A pizza is covered with multiple toppings. $\frac{3}{8}$ of the pizza is covered with mushrooms, $\frac{1}{4}$ of the pizza is covered with onions, and the rest of the pizza is covered with only cheese. What fraction of the pizza is covered with only cheese?

#### Solution:
1. The total fraction of the pizza must be $1$ (the whole pizza).
2. We are given:
- Mushrooms: $\frac{3}{8}$
- Onions: $\frac{1}{4}$
3. To find the fraction covered with only cheese, we subtract the fractions of mushrooms and onions from $1$.
4. First, convert $\frac{1}{4}$ to a fraction with a denominator of $8$:
$$
\frac{1}{4} = \frac{2}{8}
$$
5. Now, add the fractions for mushrooms and onions:
$$
\frac{3}{8} + \frac{2}{8} = \frac{5}{8}
$$
6. Subtract this sum from $1$:
$$
1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8}
$$

#### Final Answer:
$$
\boxed{\frac{3}{8}}
$$

---

Problem 2:

Mario has $\frac{15}{16}$ of a pineapple pizza in his refrigerator. Mario orders 2 more pineapple pizzas from his local pizzeria. If he eats $\frac{3}{16}$ of his pizzas for lunch, how much pizza does he have left?

#### Solution:
1. Mario starts with $\frac{15}{16}$ of a pizza.
2. He orders 2 more pizzas. Since each pizza is a whole (1), the total number of pizzas he now has is:
$$
\frac{15}{16} + 2 = \frac{15}{16} + \frac{32}{16} = \frac{47}{16}
$$
3. Mario eats $\frac{3}{16}$ of his pizzas for lunch. Subtract this from the total:
$$
\frac{47}{16} - \frac{3}{16} = \frac{44}{16}
$$
4. Simplify $\frac{44}{16}$:
$$
\frac{44}{16} = \frac{11}{4}
$$

#### Final Answer:
$$
\boxed{\frac{11}{4}}
$$

---

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?

#### Solution:
1. Convert the mixed numbers to improper fractions:
- $4 \frac{7}{12} = \frac{4 \times 12 + 7}{12} = \frac{55}{12}$
- $2 \frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}$
2. Subtract the number of pizzas with no toppings from the total number of pizzas:
$$
\frac{55}{12} - \frac{25}{12} = \frac{30}{12}
$$
3. Simplify $\frac{30}{12}$:
$$
\frac{30}{12} = \frac{5}{2} = 2 \frac{1}{2}
$$

#### Final Answer:
$$
\boxed{2 \frac{1}{2}}
$$

---

Problem 4:

Elena baked 4 pizzas for a dinner party. She topped $2 \frac{1}{4}$ of the pizzas with hot peppers and $\frac{5}{8}$ 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?

#### Solution:
1. Elena baked 4 pizzas, so the total fraction of pizzas is $4$.
2. Convert $2 \frac{1}{4}$ to an improper fraction:
$$
2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{9}{4}
$$
3. The fraction of pizzas topped with mushrooms is $\frac{5}{8}$.
4. To find the fraction of pizzas topped with cold pineapple slices, subtract the fractions of pizzas topped with hot peppers and mushrooms from the total:
$$
4 - \left( \frac{9}{4} + \frac{5}{8} \right)
$$
5. Convert $4$ to a fraction with a denominator of $8$:
$$
4 = \frac{32}{8}
$$
6. Convert $\frac{9}{4}$ to a fraction with a denominator of $8$:
$$
\frac{9}{4} = \frac{18}{8}
$$
7. Add the fractions for hot peppers and mushrooms:
$$
\frac{18}{8} + \frac{5}{8} = \frac{23}{8}
$$
8. Subtract this sum from $\frac{32}{8}$:
$$
\frac{32}{8} - \frac{23}{8} = \frac{9}{8}
$$

#### Final Answer:
$$
\boxed{\frac{9}{8}}
$$

---

Problem 5:

Tucker baked $2 \frac{1}{7}$ pizzas and ordered another $\frac{5}{7}$ of a pizza from his local pizzeria. If he shares $1 \frac{3}{7}$ of his pizza with his friends, how much pizza does he have left over?

#### Solution:
1. Convert $2 \frac{1}{7}$ to an improper fraction:
$$
2 \frac{1}{7} = \frac{2 \times 7 + 1}{7} = \frac{15}{7}
$$
2. Add the $\frac{5}{7}$ pizza he ordered:
$$
\frac{15}{7} + \frac{5}{7} = \frac{20}{7}
$$
3. Convert $1 \frac{3}{7}$ to an improper fraction:
$$
1 \frac{3}{7} = \frac{1 \times 7 + 3}{7} = \frac{10}{7}
$$
4. Subtract the amount Tucker shared from the total:
$$
\frac{20}{7} - \frac{10}{7} = \frac{10}{7}
$$

#### Final Answer:
$$
\boxed{\frac{10}{7}}
$$

---

Final Answers:

1. $\boxed{\frac{3}{8}}$
2. $\boxed{\frac{11}{4}}$
3. $\boxed{2 \frac{1}{2}}$
4. $\boxed{\frac{9}{8}}$
5. $\boxed{\frac{10}{7}}$