Test Worksheet
Instructions: Write the improper fraction for each mixed number and write the mixed number for each improper fraction. Reduce all answers to their lowest terms.
Part 1: Converting Mixed Numbers to Improper Fractions
| Mixed Number | Improper Fraction |
|---|---|
| 2 1/4 | |
| 3 5/6 | |
| 1 2/3 | |
| 4 3/8 | |
| 5 1/2 | |
| 2 7/9 | |
| 6 2/5 | |
| 3 1/7 | |
| 7 3/4 | |
| 2 3/10 |
Part 2: Converting Improper Fractions to Mixed Numbers
| Improper Fraction | Mixed Number |
|---|---|
| 15/4 | |
| 11/3 | |
| 7/2 | |
| 19/5 | |
| 17/8 | |
| 8/3 | |
| 13/7 | |
| 23/6 | |
| 35/9 | |
| 21/10 |
Part 3: Mixed Operations
Simplify the following mixed number and improper fraction operations.
| Problem | Solution |
|---|---|
| 2 1/3 + 3/4 | |
| 3 2/5 – 1 3/8 | |
| 2 3/4 x 1 1/2 | |
| 4/5 ÷ 1 1/4 | |
| 5 1/3 + 2 2/3 | |
| 4 1/2 – 2/3 | |
| 3/5 x 2 1/2 | |
| 2 1/4 ÷ 3/4 |
Part 4: Word Problems
Solve the following word problems. Write your answer as a mixed number in lowest terms.
- Jordan walked 2 3/4 miles in the morning and 1 1/2 miles in the afternoon. How many miles did she walk in total?
- A recipe calls for 5 3/4 cups of flour. If you only have 2 1/2 cups of flour, how much more flour do you need?
- A garden is 7 1/2 feet long and 4 1/4 feet wide. What is the area of the garden?
- A pizza has a diameter of 16 inches. What is the circumference of the pizza in terms of pi?
- A car drove 125 3/4 miles in 4 1/2 hours. What was the car’s average speed in miles per hour?
Part 5: Bonus Questions
Simplify the following mixed number and improper fraction operations.
| Problem | Solution |
|---|---|
| 3 1/5 + 2 1/3 – 4/15 | |
| 2 2/3 + 4 1/2 – 1 1/6 | |
| 3 3/4 x 2 2/5 – 2 1/4 | |
| 5/8 ÷ 2 1/4 x 3 1/2 |
End of Test
Note: Remember to always check your work and reduce all answers to their lowest terms. Good luck!