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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{z}{2} - 3$

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Simplify mixed rational expressions

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Q. Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{z}{2} - 3

Find Common Denominator: To simplify the expression $\frac{z}{2} - 3$ as a single fraction, we need to combine the terms into a single fraction. We can do this by finding a common denominator, which in this case is $2$ , since the first term is already over $2$ and the second term is a whole number that can be thought of as a fraction with a denominator of $1$ .
Convert Whole Number to Fraction: First, we express the whole number $3$ as a fraction with the common denominator of $2$ . To do this, we multiply $3$ by $\frac{2}{2}$ , which is equivalent to $1$ , to get $\frac{6}{2}$ . $\newline$ Calculation: $3 \times \left(\frac{2}{2}\right) = \frac{6}{2}$
Rewrite Expression with Common Denominator: Now we rewrite the original expression with the common denominator: $\frac{z}{2} - \frac{6}{2}$
Combine Numerators: Next, we combine the numerators while keeping the common denominator: $\frac{z - 6}{2}$
Simplify Final Expression: The expression $(z - 6)/2$ is already in simplest form. There are no common factors between the numerator and the denominator that can be cancelled out, and the expression is written as a single fraction.

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