Pizza-themed fraction word problems worksheet for practicing addition and subtraction of fractions.
A colorful math worksheet titled "Word Problems: Adding & Subtracting Fractions" from Mashup Math, featuring pizza-themed word problems with illustrations of a pizza, mushrooms, onions, peppers, and a pineapple.
PNG
467×612
94.4 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #837497
⭐
Show Answer Key & Explanations
Step-by-step solution for: 5th Grade Math Word Problems: Free Worksheets with Answers ...
▼
Show Answer Key & Explanations
Step-by-step solution for: 5th Grade Math Word Problems: Free Worksheets with Answers ...
Let's solve each problem step by step.
---
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 $1$:
\[
\text{Fraction covered with only cheese} = 1 - \left(\frac{3}{8} + \frac{1}{4}\right)
\]
4. First, find a common denominator for $\frac{3}{8}$ and $\frac{1}{4}$. The least common denominator is $8$:
\[
\frac{1}{4} = \frac{2}{8}
\]
5. Add the fractions:
\[
\frac{3}{8} + \frac{2}{8} = \frac{5}{8}
\]
6. Subtract this sum from $1$:
\[
1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8}
\]
#### Final Answer:
\[
\boxed{\frac{3}{8}}
\]
---
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. First, calculate the total amount of pizza Mario has before eating:
- He starts with $\frac{15}{16}$ of a pizza.
- He orders 2 more pizzas, which is equivalent to $2 = \frac{32}{16}$ (since $2 = \frac{32}{16}$).
- Total pizza before eating:
\[
\frac{15}{16} + \frac{32}{16} = \frac{47}{16}
\]
2. Mario eats $\frac{3}{16}$ of his pizzas for lunch. Subtract this from the total:
\[
\frac{47}{16} - \frac{3}{16} = \frac{44}{16}
\]
3. Simplify $\frac{44}{16}$:
\[
\frac{44}{16} = \frac{11}{4} = 2 \frac{3}{4}
\]
#### Final Answer:
\[
\boxed{2 \frac{3}{4}}
\]
---
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:
\[
\boxed{2 \frac{1}{2}}
\]
---
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. Convert the mixed number $2 \frac{1}{4}$ to an improper fraction:
\[
2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{9}{4}
\]
2. Find a common denominator for $\frac{9}{4}$ and $\frac{5}{8}$. The least common denominator is $8$:
\[
\frac{9}{4} = \frac{18}{8}
\]
3. Add the fractions of pizzas topped with hot peppers and mushrooms:
\[
\frac{18}{8} + \frac{5}{8} = \frac{23}{8}
\]
4. Since Elena baked 4 pizzas, the total number of pizzas is $4 = \frac{32}{8}$.
5. Subtract the total fraction of pizzas topped with hot peppers and mushrooms from the total number of pizzas:
\[
\frac{32}{8} - \frac{23}{8} = \frac{9}{8} = 1 \frac{1}{8}
\]
#### Final Answer:
\[
\boxed{1 \frac{1}{8}}
\]
---
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 the mixed number $2 \frac{1}{7}$ to an improper fraction:
\[
2 \frac{1}{7} = \frac{2 \times 7 + 1}{7} = \frac{15}{7}
\]
2. Add the pizza Tucker baked to the pizza he ordered:
\[
\frac{15}{7} + \frac{5}{7} = \frac{20}{7}
\]
3. Convert the mixed number $1 \frac{3}{7}$ to an improper fraction:
\[
1 \frac{3}{7} = \frac{1 \times 7 + 3}{7} = \frac{10}{7}
\]
4. Subtract the amount of pizza Tucker shared from the total amount of pizza:
\[
\frac{20}{7} - \frac{10}{7} = \frac{10}{7} = 1 \frac{3}{7}
\]
#### Final Answer:
\[
\boxed{1 \frac{3}{7}}
\]
---
1. $\boxed{\frac{3}{8}}$
2. $\boxed{2 \frac{3}{4}}$
3. $\boxed{2 \frac{1}{2}}$
4. $\boxed{1 \frac{1}{8}}$
5. $\boxed{1 \frac{3}{7}}$
---
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 $1$:
\[
\text{Fraction covered with only cheese} = 1 - \left(\frac{3}{8} + \frac{1}{4}\right)
\]
4. First, find a common denominator for $\frac{3}{8}$ and $\frac{1}{4}$. The least common denominator is $8$:
\[
\frac{1}{4} = \frac{2}{8}
\]
5. Add the fractions:
\[
\frac{3}{8} + \frac{2}{8} = \frac{5}{8}
\]
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. First, calculate the total amount of pizza Mario has before eating:
- He starts with $\frac{15}{16}$ of a pizza.
- He orders 2 more pizzas, which is equivalent to $2 = \frac{32}{16}$ (since $2 = \frac{32}{16}$).
- Total pizza before eating:
\[
\frac{15}{16} + \frac{32}{16} = \frac{47}{16}
\]
2. Mario eats $\frac{3}{16}$ of his pizzas for lunch. Subtract this from the total:
\[
\frac{47}{16} - \frac{3}{16} = \frac{44}{16}
\]
3. Simplify $\frac{44}{16}$:
\[
\frac{44}{16} = \frac{11}{4} = 2 \frac{3}{4}
\]
#### Final Answer:
\[
\boxed{2 \frac{3}{4}}
\]
---
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. Convert the mixed number $2 \frac{1}{4}$ to an improper fraction:
\[
2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{9}{4}
\]
2. Find a common denominator for $\frac{9}{4}$ and $\frac{5}{8}$. The least common denominator is $8$:
\[
\frac{9}{4} = \frac{18}{8}
\]
3. Add the fractions of pizzas topped with hot peppers and mushrooms:
\[
\frac{18}{8} + \frac{5}{8} = \frac{23}{8}
\]
4. Since Elena baked 4 pizzas, the total number of pizzas is $4 = \frac{32}{8}$.
5. Subtract the total fraction of pizzas topped with hot peppers and mushrooms from the total number of pizzas:
\[
\frac{32}{8} - \frac{23}{8} = \frac{9}{8} = 1 \frac{1}{8}
\]
#### Final Answer:
\[
\boxed{1 \frac{1}{8}}
\]
---
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 the mixed number $2 \frac{1}{7}$ to an improper fraction:
\[
2 \frac{1}{7} = \frac{2 \times 7 + 1}{7} = \frac{15}{7}
\]
2. Add the pizza Tucker baked to the pizza he ordered:
\[
\frac{15}{7} + \frac{5}{7} = \frac{20}{7}
\]
3. Convert the mixed number $1 \frac{3}{7}$ to an improper fraction:
\[
1 \frac{3}{7} = \frac{1 \times 7 + 3}{7} = \frac{10}{7}
\]
4. Subtract the amount of pizza Tucker shared from the total amount of pizza:
\[
\frac{20}{7} - \frac{10}{7} = \frac{10}{7} = 1 \frac{3}{7}
\]
#### Final Answer:
\[
\boxed{1 \frac{3}{7}}
\]
---
Final Answers:
1. $\boxed{\frac{3}{8}}$
2. $\boxed{2 \frac{3}{4}}$
3. $\boxed{2 \frac{1}{2}}$
4. $\boxed{1 \frac{1}{8}}$
5. $\boxed{1 \frac{3}{7}}$
Parent Tip: Review the logic above to help your child master the concept of problem solving worksheet 5th grade.