Question: Which two expressions are equivalent to $-\frac{96}{5}$
1. The problem asks us to find two expressions equivalent to the fraction $-\frac{96}{5}$.
2. Equivalent expressions have the same value but may look different.
3. One way to find equivalent expressions is to multiply or divide numerator and denominator by the same nonzero number.
4. For example, multiply numerator and denominator by 2:
$$-\frac{96}{5} = -\frac{96 \times 2}{5 \times 2} = -\frac{192}{10}$$
5. Another way is to divide numerator and denominator by their greatest common divisor (GCD). The GCD of 96 and 5 is 1, so dividing by 1 keeps the fraction the same.
6. Alternatively, express as a decimal:
$$-\frac{96}{5} = -19.2$$
7. Or express as a mixed number:
$$-\frac{96}{5} = -19 \frac{1}{5}$$
8. Therefore, two equivalent expressions are:
$$-\frac{192}{10} \quad \text{and} \quad -19.2$$