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

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

Part 3:

11. Simplify the mixed number 2 1/2 and the complex fraction (3/4) / [(1/2) / (1/3)] using the order of operations.
12. Simplify the mixed number 3 3/4 and the complex fraction [(5/6) + (1/2)] / [(2/3) – (1/4)] using the order of operations.
13. Simplify the mixed number 1 2/3 and the complex fraction [(4/5) – (2/3)] / [(5/6) + (1/2)] using the order of operations.
14. Add the mixed number 1 1/2 and the complex fraction (2/3) / (5/6).
15. Subtract the mixed number 4 1/2 from the complex fraction [(5/6) + (1/2)] / [(2/3) – (1/4)].

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