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Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{d}{d^2 - 5d}$

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Simplify radical expressions: mixed review

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

\newline

\frac{d}{d^2 - 5d}

Factor GCF from denominator: Factor out the greatest common factor (GCF) from the denominator. $\newline$ The GCF of $d^2$ and $5d$ is $d$ . $\newline$ So, $d^2 - 5d$ can be factored as $d(d - 5)$ .
Rewrite with factored denominator: Rewrite the original expression with the factored denominator. $\newline$ The expression $\frac{d}{d^2 - 5d}$ becomes $\frac{d}{d(d - 5)}$ .
Simplify by canceling common term: Simplify the expression by canceling out the common $d$ term from the numerator and the denominator. $\newline$ The $d$ in the numerator cancels with one $d$ in the denominator, leaving $\frac{1}{d - 5}$ .
Check for further simplifications: Check for any further simplifications. $\newline$ Since there are no more common factors and the expression is in its simplest form, no further simplification is possible.

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