First, let's convert \(2\frac{1}{2}\) into an improper fraction:
\[ 2\frac{1}{2} = 2 + \frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2} \]
Now, we can multiply \(-1.7\) by \(\frac{5}{2}\):
Convert \(-1.7\) to a fraction:
\[ -1.7 = -\frac{17}{10} \]
Now, multiply the two fractions:
\[ -\frac{17}{10} \times \frac{5}{2} = -\frac{17 \times 5}{10 \times 2} = -\frac{85}{20} \]
Next, we simplify \(-\frac{85}{20}\):
Divide both the numerator and the denominator by 5:
\[ -\frac{85 \div 5}{20 \div 5} = -\frac{17}{4} \]
Now, convert this improper fraction to a mixed number:
\(-\frac{17}{4}\) can be expressed as:
\[ -4 \frac{1}{4} \]
So the answer as a mixed number in simplest form is:
D. \(-\frac{17}{4}\) (as an improper fraction) or \(-4 \frac{1}{4}\) (as a mixed number, if that format is needed).
2 answers