Certainly! Let's carefully break down the given expression step by step.
Given expression:
[tex]\[ \frac{3}{0} \times 0.1 + \frac{8}{22} \][/tex]
1. Evaluate the first term:
[tex]\[ \frac{3}{0} \][/tex]
Division by zero is undefined in mathematics. Since this term contains division by zero, the entire expression becomes undefined.
Therefore, due to the division by zero, the expression:
[tex]\[ \frac{3}{0} \times 0.1 + \frac{8}{22} \][/tex]
is undefined.
So, the correct answer is:
[tex]\[ \text{Undefined} \][/tex]