Evaluate the expression for u = 4. Write your answer in simplest form. u - 10/-u - 4 = ____

Identify expression: Identify the expression to be evaluated. The given expression is (u - 10)/(-u - 4). We need to substitute u with 4 and then simplify the expression.Substitute u with 4: Substitute u with 4 in the expression. Substitute 4 for u in (u - 10)/(-u - 4). Expression after substitution: (4 - 10)/(-4 - 4)Simplify numerator and denominator: Simplify the numerator and the denominator. (4 - 10)/(-4 - 4) = (-6)/(-8)Divide by greatest common divisor: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. (-6)/(-8) = 6/8Further simplify fraction: Further simplify the fraction by dividing both the numerator and the denominator by 2. 6/8 = 3/4

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Evaluate the expression for $u = 4$ . $\newline$ Write your answer in simplest form. $\newline$ $\frac{u - 10}{-u - 4} =$ __

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Math Problems

Algebra 1

Evaluate rational expressions

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Q. Evaluate the expression for

u = 4

\newline

Write your answer in simplest form.

\newline

\frac{u - 10}{-u - 4} =

Identify expression: Identify the expression to be evaluated. $\newline$ The given expression is $(u - 10)/(-u - 4)$ . We need to substitute $u$ with $4$ and then simplify the expression.
Substitute $u$ with $4$ : Substitute $u$ with $4$ in the expression. $\newline$ Substitute $4$ for $u$ in $(u - 10)/(-u - 4)$ . $\newline$ Expression after substitution: $(4 - 10)/(-4 - 4)$
Simplify numerator and denominator: Simplify the numerator and the denominator. $(4 - 10)/(-4 - 4) = (-6)/(-8)$
Divide by greatest common divisor: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $(-6)/(-8) = 6/8$
Further simplify fraction: Further simplify the fraction by dividing both the numerator and the denominator by $2$ . $\newline$ $\frac{6}{8} = \frac{3}{4}$