Multi-step Fraction Equations Worksheet

Multi-step Fraction Equations

Solve each multi-step fraction equation. Show all your work. Simplify your answers completely.

1. \( \frac{2}{3}x + \frac{1}{6} = \frac{5}{12} \)

2. \( \frac{3}{4}(x - \frac{1}{2}) = \frac{9}{8} \)

3. To solve \( \frac{x}{5} - \frac{1}{2} = \frac{3}{10} \), the first step is to add \( \frac{1}{2} \) to both sides, which results in \( \frac{x}{5} = \)  .

4. If \( \frac{2}{7}y + \frac{1}{14} = \frac{5}{14} \), then \( \frac{2}{7}y = \)  .

5. Which of the following is the correct first step to solve \( \frac{1}{3}(2x - 4) = \frac{5}{6} \)?

6. \( \frac{3}{5}w - \frac{1}{10} = \frac{1}{2}w + \frac{1}{5} \)

7. \( 2( \frac{1}{4}z + \frac{3}{8} ) = \frac{1}{2}z - \frac{1}{4} \)