1. The problem asks to complete the statement involving the number $-0.24$ and a fraction to make it true.
2. We recognize that $-0.24$ can be expressed as a fraction. To convert a decimal to a fraction, write it as $\frac{\text{decimal part}}{\text{power of 10}}$.
3. Since $-0.24 = -\frac{24}{100}$, we simplify this fraction by dividing numerator and denominator by their greatest common divisor, which is 4.
4. Simplifying: $$-\frac{24}{100} = -\frac{\cancel{24}^6}{\cancel{100}^{25}} = -\frac{6}{25}$$
5. Therefore, the completed statement is $-0.24 = -\frac{6}{25}$.
6. The fraction $-\frac{3}{16}$ given in the choices is not equivalent to $-0.24$ because $\frac{3}{16} = 0.1875$.
7. Hence, the correct fraction equivalent to $-0.24$ is $-\frac{6}{25}$, not $-\frac{3}{16}$.
Final answer: $-0.24 = -\frac{6}{25}$.
Decimal Fraction B33A32
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.