Give me some equation problems with fractions please

Here are five equation problems involving fractions for you to solve:

1. **Solve for \(x\):**  
   \[
   \frac{3}{4}x - \frac{1}{2} = \frac{5}{8}
   \]

2. **Solve for \(y\):**  
   \[
   \frac{2}{3}y + \frac{3}{5} = \frac{11}{15}
   \]

3. **Solve for \(z\):**  
   \[
   \frac{5}{6}z - \frac{1}{4} = \frac{7}{12}
   \]

4. **Solve for \(x\):**  
   \[
   \frac{x}{5} + \frac{2}{7} = \frac{4}{35}
   \]

5. **Solve for \(k\):**  
   \[
   \frac{3k}{8} - \frac{k}{6} = \frac{1}{12}
   \]

Would you like detailed solutions for any of these?

Here are five related questions for further practice:

1. What is the first step to solve equations with fractions?
2. How do you handle fractions in a multi-term equation?
3. Can you describe a method to eliminate fractions in an equation?
4. How do you find the common denominator for fractions in an equation?
5. What is the advantage of clearing fractions when solving equations?

**Tip:** Always look for common denominators to simplify the fractions before solving the equation.

Explore five algebraic equations involving fractions, including step-by-step solutions. This set of problems focuses on using common denominators and cross-multiplication to solve linear equations with fractions. Suitable for students in Grades 6-8.

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