To evaluate the expression [tex]\( 13 - \frac{1}{3}(11 - 5) \)[/tex], we will break down the steps in a detailed manner:
1. Calculate the expression inside the parentheses:
[tex]\[
11 - 5
\][/tex]
Subtract 5 from 11 to get:
[tex]\[
6
\][/tex]
2. Divide the result by 3:
[tex]\[
\frac{1}{3} \times 6
\][/tex]
Performing the division:
[tex]\[
6 \div 3 = 2.0
\][/tex]
3. Subtract the result from 13:
[tex]\[
13 - 2.0
\][/tex]
Subtract 2.0 from 13 to get:
[tex]\[
11.0
\][/tex]
Thus, the value of the expression [tex]\(13 - \frac{1}{3}(11 - 5)\)[/tex] is [tex]\(11.0\)[/tex].
