 Date: May 14, 2023   # Worksheet Test

## Part 1: Mixed Numbers

1. Convert the mixed number 3 1/2 to an improper fraction.
2. Convert the improper fraction 9/4 to a mixed number.
3. Simplify the mixed number 4 2/3.
4. Add the mixed numbers 2 3/4 and 1 1/2.
5. Subtract the mixed numbers 3 5/6 and 2 1/3.

## Part 2: Complex Fractions

1. Simplify the complex fraction (2/3) / (5/6).
2. Simplify the complex fraction (3/4) / [(1/2) / (3/8)].
3. Simplify the complex fraction (5/6) / [(2/3) / (3/4)].
4. Simplify the complex fraction [(5/6) + (1/2)] / [(2/3) – (1/4)].
5. Simplify the complex fraction [(4/5) – (2/3)] / [(5/6) + (1/2)].

## Part 3:

1. Simplify the mixed number 2 1/2 and the complex fraction (3/4) / [(1/2) / (1/3)] using the order of operations.
2. Simplify the mixed number 3 3/4 and the complex fraction [(5/6) + (1/2)] / [(2/3) – (1/4)] using the order of operations.
3. Simplify the mixed number 1 2/3 and the complex fraction [(4/5) – (2/3)] / [(5/6) + (1/2)] using the order of operations.
4. Add the mixed number 1 1/2 and the complex fraction (2/3) / (5/6).
5. Subtract the mixed number 4 1/2 from the complex fraction [(5/6) + (1/2)] / [(2/3) – (1/4)].
Name:____ Date:_____

Instructions: Solve each problem and write your answer in the space provided. Show your work. Good luck!