To simplify the expression $11 \times \frac{1}{9} - 7$, follow these steps:

1. First, multiply $11$ by $\frac{1}{9}$: $11 \times \frac{1}{9} = \frac{11}{9}$

2. Now, subtract $7$ from $\frac{11}{9}$: $\frac{11}{9} - 7$ To subtract, express $7$ as a fraction with the same denominator: $7 = \frac{63}{9}$ So the expression becomes: $\frac{11}{9} - \frac{63}{9} = \frac{11 - 63}{9} = \frac{-52}{9}$

The simplified result is: $\frac{-52}{9}$

Would you like more details or further explanation?

Here are 5 related questions for you to explore:

1. How do you add or subtract fractions with different denominators?
2. What is the process to multiply a whole number by a fraction?
3. How can you convert improper fractions to mixed numbers?
4. What is the decimal form of $\frac{-52}{9}$?
5. How do you simplify complex fractions?

Tip: When subtracting fractions, always ensure they have a common denominator before performing the operation.