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$Evaluate the expression shown below and write your answer as a fraction in simplest form. -(2)/(13)+(-(6)/(13)) Answer:$

Evaluate the expression shown below and write your answer as a fraction in simplest form. $\newline$ $-\frac{2}{13}+\left(-\frac{6}{13}\right)$ $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.

\newline

-\frac{2}{13}+\left(-\frac{6}{13}\right)

\newline

Answer:

Identify like terms: Identify like terms. Both terms have the same denominator, which means they can be combined.
Combine numerators: Combine the numerators. $\newline$ Add the numerators while keeping the denominator the same. $\newline$ $-\frac{2}{13} + \left(-\frac{6}{13}\right) = -\frac{2 + 6}{13}$
Perform addition: Perform the addition. $\newline$ Calculate the sum of the numerators. $\newline$ $- (2 + 6) = -8$
Write combined fraction: Write the combined fraction. Place the calculated sum of the numerators over the common denominator. $-\frac{8}{13}$
Check for simplification: Check if the fraction can be simplified. $\newline$ The fraction $-\frac{8}{13}$ cannot be simplified further as $8$ and $13$ have no common factors other than $1$ .

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