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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{k}{k^2 - 2k}$

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Multiply and divide rational expressions

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Q. Simplify. Write your answer using whole numbers and variables.

\newline

\frac{k}{k^2 - 2k}

Factor out common term: Factor out the common term in the denominator. The common term in the denominator $k^2 - 2k$ is $k$ . So, we factor $k$ out to get $k(k - 2)$ .
Simplify by canceling: Simplify the expression by canceling out the common $k$ term in the numerator and the denominator. The $k$ in the numerator cancels with one $k$ in the denominator, leaving us with $\frac{1}{k - 2}$ .
Check for further simplifications: Check for any further simplifications. Since there are no common factors left and no like terms to combine, the expression is now in its simplest form.
Write final answer: Write the final answer. The simplified expression is $\frac{1}{k - 2}$ .

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