Worksheet: Properties of Rational Numbers

Learning Intention: Apply and Analyze the properties of addition, subtraction, multiplication, and division of rational numbers.

Instructions: Solve the following problems by applying the properties of rational numbers. Show all your work and write your answers in simplest form.

1. Simplify: 3/4 + 2/3
2. Evaluate: 5/6 - 1/2
3. Solve: (2/5) × (3/4)
4. Simplify: 7/8 ÷ 2/3
5. Simplify: 1/2 + 3/4 - 1/3
6. Evaluate: 2/3 - 1/4 + 1/6
7. Solve: (3/5) × (4/7) ÷ (2/3)
8. Simplify: 5/6 + 2/3 - 1/2
9. Evaluate: 1/2 - 1/3 × 3/4
10. Solve: (2/3) ÷ (4/5) + (1/2)
11. Simplify: 3/4 + 1/2 - 2/3
12. Evaluate: 2/5 - 1/3 × 3/4
13. Solve: (3/4) ÷ (2/3) + (1/2)
14. Simplify: 1/2 + 3/4 - 1/3 × 2/5
15. Evaluate: 2/3 - 1/4 + 1/6 ÷ 1/2
16. Solve: (3/5) × (4/7) ÷ (2/3) + (1/2)
17. Simplify: 5/6 + 2/3 - 1/2 ÷ 3/4
18. Evaluate: 1/2 - 1/3 × 3/4 + 2/5
19. Solve: (2/3) ÷ (4/5) + (1/2) - (3/4)
20. Simplify: 3/4 + 1/2 - 2/3 × 4/5 ÷ 1/2

Note: The questions provided above are based on the learning intention of applying and analyzing the properties of addition, subtraction, multiplication, and division of rational numbers. The questions are designed to assess the students’ understanding and ability to apply these properties in various scenarios.