 Date: May 14, 2023   # Worksheet

Instructions: Solve the following problems. Reduce all fractions to their simplest form.

## Part 1: Adding and Subtracting Fractions with Unlike Denominators

1. What is the sum of 2/3 and 5/6?
2. What is the difference between 7/8 and 3/4?
3. What is the sum of 1/2 and 3/8?
4. What is the difference between 5/6 and 1/2?
5. What is the sum of 7/10 and 2/5?
6. What is the difference between 4/9 and 2/3?
7. What is the sum of 4/5 and 3/10?
8. What is the difference between 2/3 and 1/4?
9. What is the sum of 1/3 and 1/9?
10. What is the difference between 2/5 and 1/7?

## Part 2: Adding and Subtracting Mixed Numbers

1. What is the sum of 1 1/4 and 2 3/8?
2. What is the difference between 4 1/2 and 2 1/3?
3. What is the sum of 2 2/3 and 1 3/4?
4. What is the difference between 3 1/2 and 1 2/5?
5. What is the sum of 1 3/8 and 2 1/2?
6. What is the difference between 5 1/4 and 3 2/3?
7. What is the sum of 1 5/6 and 2 1/3?
8. What is the difference between 6 1/4 and 4 1/3?
9. What is the sum of 2 3/4 and 1 1/8?
10. What is the difference between 5 1/2 and 3 3/8?

## Part 3: Mixed Operations

1. What is the sum of 1/4 and 2 1/2?
2. What is the difference between 3 1/2 and 1/3?
3. What is the sum of 2 1/3 and 3/4?
4. What is the difference between 5 3/4 and 2/3?
5. What is the sum of 1/2 and 1 1/2?
6. What is the difference between 2 2/5 and 1/5?
7. What is the sum of 2 1/4 and 2/3?
8. What is the difference between 4 1/3 and 1 1/4?
9. What is the sum of 1/3 and 3 1/2?
10. What is the difference between 6 1/2 and 2/3?

## Part 4: Word Problems

1. A recipe calls for 2/3 cup of flour and 1/4 cup of sugar. How much flour and sugar is needed in total?
2. A pizza was cut into 8 slices. Jane ate 3/4 of the pizza and Jack ate 1/2 of the pizza. How much of the pizza did they eat in total?
3. A bag contains 2 1/2 pounds of apples and 3/4 pounds of bananas. How much fruit is in the bag in total?
4. A car traveled 4 1/2 hours at a speed of 60 miles per hour. How far did the car go?
5. A recipe calls for 2 1/2 cups of milk and 3/4 cups of sugar. If the recipe is doubled, how much milk and sugar is needed in total?
6. A runner ran 5 1/2 miles on Monday and 3 3/4 miles on Tuesday. How far did the runner run in total?
7. A pizza was cut into 10 slices. John ate 2 1/2 slices and Jane ate 1 3/4 slices. How much of the pizza is left?
8. A recipe calls for 3/4 cups of flour and 1/2 cups of sugar. If the recipe is tripled, how much flour and sugar is needed in total?
9. A car traveled 300 miles in 5 hours. What was the car’s average speed in miles per hour?
10. A recipe calls for 1 1/2 cups of milk and 1/4 cups of sugar. If the recipe is quadrupled, how much milk and sugar is needed in total?