1. **State the problem:** We want to compare the value of $7 \times \frac{11}{6}$ with $7$ to determine which is greater. 2. **Recall the rule:** When multiplying a whole number by a fraction, the result depends on whether the fraction is greater than, equal to, or less than 1. - If the fraction is greater than 1, the product will be greater than the original whole number. - If the fraction is equal to 1, the product will be equal to the original whole number. - If the fraction is less than 1, the product will be less than the original whole number. 3. **Analyze the fraction:** The fraction is $\frac{11}{6}$. - Since $11 > 6$, $\frac{11}{6} > 1$. 4. **Calculate the product:** $$7 \times \frac{11}{6} = \frac{7 \times 11}{6} = \frac{77}{6} \approx 12.83$$ 5. **Compare the product to 7:** - $12.83 > 7$ 6. **Conclusion:** Multiplying 7 by $\frac{11}{6}$ results in a value greater than 7 because the fraction $\frac{11}{6}$ is greater than 1. Therefore, $$7 \times \frac{11}{6} > 7$$