1. The problem asks us to compare the fraction $-\frac{11}{8}$ with the decimal $-1.37$ to determine which is greater. 2. To compare these two numbers, it is easiest to convert the fraction to a decimal. 3. Calculate the decimal value of $-\frac{11}{8}$: $$-\frac{11}{8} = -1.375$$ 4. Now compare $-1.375$ and $-1.37$. 5. Since both numbers are negative, the number with the smaller absolute value is greater. The absolute values are: $$| -1.375 | = 1.375$$ $$| -1.37 | = 1.37$$ 6. Because $1.375 > 1.37$, it means $-1.375 < -1.37$. 7. Therefore, $-\frac{11}{8}$ is less than $-1.37$. Final answer: $-\frac{11}{8} < -1.37$