Evaluate the expression for t = -4. Write your answer in simplest form. t - 3/t - 6 = ____

Identify Expression: Identify the expression after substituting t = -4 Substitute -4 for t in t - 3/t - 6. ((-4) - 3)/((-4) - 6)Substitute and Simplify: Evaluate (-4) - 3 (-4) - 3 = -7 Numerator: -7Evaluate Numerator: Evaluate -4 - 6 -4 - 6 = -10 Denominator: -10Evaluate Denominator: -7/(-10) Rewrite the fraction in simplest form. Divide both -7 and -10 by their greatest common divisor, which is 1. So the fraction remains -7/(-10). Cancel out the negative signs. = 7/10

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Evaluate the expression for $t = -4$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{t - 3}{t - 6} =$ ____

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Algebra 2

Evaluate rational expressions II

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Q. Evaluate the expression for

t = -4

\newline

Write your answer in simplest form.

\newline

\frac{t - 3}{t - 6} =

____

Identify Expression: Identify the expression after substituting $t = -4$ $\newline$ Substitute $-4$ for $t$ in $\frac{t - 3}{t - 6}$ . $\newline$ $\frac{(-4) - 3}{(-4) - 6}$
Substitute and Simplify: Evaluate $(-4) - 3$ $(-4) - 3 = -7$ Numerator: $-7$
Evaluate Numerator: Evaluate $-4 - 6$ $-4 - 6 = -10$ Denominator: $-10$
Evaluate Denominator: $-\frac{7}{-10}$ $\newline$ Rewrite the fraction in simplest form. $\newline$ Divide both $-7$ and $-10$ by their greatest common divisor, which is $1$ . $\newline$ So the fraction remains $-\frac{7}{-10}$ . $\newline$ Cancel out the negative signs. $\newline$ $= \frac{7}{10}$