Answer :

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].