Subjects algebra

Painting Fraction 7De875

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Question: A painter paints a wall in $x$ hours, so the fraction of the wall that she paints in 4 hours is
1. **State the problem:** A painter can paint a whole wall in $x$ hours. We want to find the fraction of the wall she paints in 4 hours. 2. **Formula used:** The fraction of work done is given by the ratio of time spent painting to the total time required. 3. **Apply the formula:** The painter paints the entire wall in $x$ hours, so in 1 hour she paints $\frac{1}{x}$ of the wall. 4. **Calculate the fraction for 4 hours:** In 4 hours, she paints $4 \times \frac{1}{x} = \frac{4}{x}$ of the wall. 5. **Interpretation:** This means the painter completes $\frac{4}{x}$ of the wall in 4 hours. **Final answer:** $$\boxed{\frac{4}{x}}$$