Subjects algebra

Simplify Fraction 37Fd2C

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Simplify and solve the equation $\frac{k + k}{k} = 6$ for $k$. 2. **Use the formula and rules:** When adding like terms, $k + k = 2k$. Also, dividing a term by itself (except zero) simplifies to 1. 3. **Simplify the numerator:** $$\frac{k + k}{k} = \frac{2k}{k}$$ 4. **Cancel common factors:** $$\frac{\cancel{2} \cancel{k}}{\cancel{k}} = 2$$ 5. **Set the simplified expression equal to 6:** $$2 = 6$$ 6. **Analyze the result:** The equation $2 = 6$ is false, so there is no value of $k$ (except possibly $k=0$ which is undefined) that satisfies the original equation. **Final answer:** No solution for $k$.