Negative Fractions E70134

1. **State the problem:** We need to evaluate and compare the expressions $-\frac{96}{5}$, $-\frac{96}{5}$, $\frac{96}{-5}$, and $-\left(\frac{96}{-5}\right)$. 2. **Recall the rule for division with negative numbers:** A negative sign in the numerator or denominator makes the fraction negative. Two negatives cancel out to make a positive. 3. **Evaluate each expression:** - $-\frac{96}{5} = -19.2$ - $-\frac{96}{5} = -19.2$ (same as above) - $\frac{96}{-5} = -19.2$ - $-\left(\frac{96}{-5}\right) = -(-19.2) = 19.2$ 4. **Summary:** The first three expressions equal $-19.2$, while the last expression equals $19.2$. 5. **Final answer:** $$-\frac{96}{5} = -19.2, \quad -\frac{96}{5} = -19.2, \quad \frac{96}{-5} = -19.2, \quad -\left(\frac{96}{-5}\right) = 19.2$$