Full solution

Q. Evaluate the expression for

t = 19

. Simplify your answer.

\newline

-\frac{18}{t} - 18 =

_____

Identify Expression: Identify the expression to be evaluated. $\newline$ We need to substitute $t = 19$ into the expression $\frac{-18}{t} - 18$ .
Substitute $t = 19$ : Substitute $t = 19$ into the expression. $\newline$ The expression becomes $\frac{-18}{19} - 18$ .
Simplify Expression: Simplify the expression. $\newline$ First, we simplify $-\frac{18}{19}$ as it is already in its simplest form. $\newline$ Then we simplify the expression by writing the second term, $-18$ , as a fraction with a common denominator with the first term. $\newline$ So, $-18$ becomes $-18 \times \left(\frac{19}{19}\right)$ which is $-\frac{342}{19}$ .
Combine Fractions: Combine the two fractions. $\newline$ Now we combine $-\frac{18}{19}$ and $-\frac{342}{19}$ . $\newline$ The combined fraction is $\left(-18 - 342\right)/19$ .
Perform Subtraction: Perform the subtraction in the numerator. $\newline$ $-18 - 342 = -360$ . $\newline$ So the expression becomes $-\frac{360}{19}$ .
Final Simplification: Simplify the fraction if possible. $\newline$ The fraction $-\frac{360}{19}$ cannot be simplified further as $360$ and $19$ have no common factors other than $1$ .