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Evaluate the expression for $b = -2$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{b - 4}{b - 3} =$ __

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Evaluate rational expressions II

Full solution

Q. Evaluate the expression for

b = -2

.

\newline

Write your answer in simplest form.

\newline

\frac{b - 4}{b - 3} =

__

Identify Expression: Identify the expression after substituting $b = -2$ $\newline$ Substitute $-2$ for $b$ in $\frac{b - 4}{b - 3}$ . $\newline$ $\frac{(-2) - 4}{(-2) - 3}$
Substitute for $b$ : Evaluate $(-2) - 4$ $\$-2) - 4 = -6$ Numerator: $-6$
Evaluate Numerator: Evaluate $-2 - 3$ $-2 - 3 = -5$ Denominator: $-5$
Evaluate Denominator: $-\frac{6}{-5}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ Since $-6$ and $-5$ are both negative, the negatives cancel out. $\newline$ $= \frac{6}{5}$

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