To solve the problem [tex]\( 7 + \left(\frac{5}{12}\right) \)[/tex] using the PEMDAS rule, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), we follow these steps:
1. Parentheses: First, we need to evaluate the expression inside the parentheses. Here, that expression is [tex]\( \frac{5}{12} \)[/tex].
[tex]\[
\frac{5}{12} \approx 0.4166666666666667
\][/tex]
2. Addition: After evaluating the expression inside the parentheses, we need to add the result to 7.
[tex]\[
7 + 0.4166666666666667 \approx 7.416666666666667
\][/tex]
So, the detailed solution to the problem [tex]\( 7 + \left(\frac{5}{12}\right) \)[/tex] is:
[tex]\[
7 + \left(\frac{5}{12}\right) \approx 7 + 0.4166666666666667 = 7.416666666666667
\][/tex]
Therefore, the correct answer is approximately [tex]\( 7.42 \)[/tex].
