1. Problem: You want to practice math problems involving natural and rational numbers, including addition, subtraction, multiplication, division, equations, inequalities, and converting fractions to decimals and vice versa. 2. Here is a practice problem for you to solve: **Problem:** Solve the equation $$\frac{3}{4}x - 5 = 7$$ and then check if $$x > 10$$. 3. Formula and rules: - To solve equations like $$\frac{3}{4}x - 5 = 7$$, first isolate the variable term by adding or subtracting numbers on both sides. - Then multiply or divide both sides to solve for $$x$$. - Remember to perform the same operation on both sides to keep the equation balanced. 4. Step-by-step solution: 1. Add 5 to both sides: $$\frac{3}{4}x - 5 + 5 = 7 + 5$$ $$\frac{3}{4}x = 12$$ 2. Multiply both sides by the reciprocal of $$\frac{3}{4}$$, which is $$\frac{4}{3}$$: $$x = 12 \times \frac{4}{3}$$ 3. Calculate: $$x = \frac{12 \times 4}{3} = \frac{48}{3} = 16$$ 5. Check if $$x > 10$$: Since $$16 > 10$$, the inequality is true. 6. Final answer: $$x = 16$$ and $$x > 10$$ is true. Try solving this on your own and let me know if you want more problems!