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

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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{t}{2} - 3

Identify Expression: Identify the expression to be simplified. $\newline$ We have the expression $\frac{t}{2} - 3$ . To express this as a single fraction, we need to find a common denominator.
Find Common Denominator: Find a common denominator. $\newline$ The common denominator for the terms $\frac{t}{2}$ and $3$ is $2$ . We can express $3$ as a fraction with the denominator $2$ by multiplying both the numerator and the denominator by $2$ .
Rewrite as Fraction: Rewrite $3$ as a fraction with the denominator $2$ . $3$ can be written as $3 \times \frac{2}{2}$ , which is $\frac{6}{2}$ .
Combine Fractions: Combine the fractions. $\newline$ Now we have $\frac{t}{2} - \frac{6}{2}$ . Since they have the same denominator, we can combine the numerators.
Perform Subtraction: Perform the subtraction. Subtract the numerators and keep the common denominator. $(t - 6)/2$
Check for Simplification: Check if the fraction can be simplified further. $\newline$ The fraction $(t - 6)/2$ is already in simplest form because $t$ is a variable and $6$ is a constant. They do not have common factors other than $1$ .

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