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Evaluate the expression for $w = 12$ and $x = 6$ . Simplify your answer. $\newline$ $\frac{x}{w} - x =$ _____

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Evaluate rational expressions II

Full solution

Q. Evaluate the expression for

w = 12

and

x = 6

. Simplify your answer.

\newline

\frac{x}{w} - x =

_____

Identify and Substitute Values: Identify the expression and substitute the given values for $w$ and $x$ . Substitute $w = 12$ and $x = 6$ into the expression $\frac{x}{w} - x$ . $\frac{6}{12} - 6$
Simplify Fraction: Simplify the fraction $\frac{6}{12}$ . $\frac{6}{12}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $6$ . $\frac{6}{12} = \frac{1}{2}$
Evaluate Expression: Evaluate the expression $\frac{1}{2} - 6$ . To subtract $6$ from $\frac{1}{2}$ , we need to express $6$ as a fraction with the same denominator as $\frac{1}{2}$ . $6 = \frac{6}{1} = \frac{(6\times2)}{(1\times2)} = \frac{12}{2}$ Now we can subtract the two fractions. $\frac{1}{2} - \frac{12}{2}$
Subtract Fractions: Subtract the fractions. $\newline$ Subtract the numerators and keep the denominator the same. $\newline$ $(1 - 12)/2 = -11/2$

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