Date: May 14, 2023

# 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.

1. 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?
2. 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?
3. A garden is 7 1/2 feet long and 4 1/4 feet wide. What is the area of the garden?
4. A pizza has a diameter of 16 inches. What is the circumference of the pizza in terms of pi?
5. 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!