- Due \( 3 / 25 \) 1. What is the value of \( 4 \frac{2}{3}(-2.25) \) as a mixed number? *Must show your work* Type a response

To find the value of \( 4 \frac{2}{3}(-2.25) \), we'll begin by converting the mixed number into an improper fraction. 1. Convert \( 4 \frac{2}{3} \): \[ 4 \frac{2}{3} = 4 + \frac{2}{3} = \frac{12}{3} + \frac{2}{3} = \frac{14}{3} \] 2. Convert \(-2.25\) into a fraction: \[ -2.25 = -\frac{225}{100} = -\frac{9}{4} \quad \text{(by simplifying)} \] 3. Now multiply the improper fractions: \[ \frac{14}{3} \times -\frac{9}{4} = -\frac{14 \times 9}{3 \times 4} = -\frac{126}{12} \] 4. Simplify \(-\frac{126}{12}\): \[ -\frac{126}{12} = -\frac{21}{2} \quad \text{(by dividing both numerator and denominator by 6)} \] 5. Convert \(-\frac{21}{2}\) into a mixed number: \[ -\frac{21}{2} = -10 \frac{1}{2} \] Thus, the value of \( 4 \frac{2}{3}(-2.25) \) as a mixed number is \(-10 \frac{1}{2}\).