Evaluate \( -x y z \) if \( x=-\frac{2}{3}, y=0.6 \), and \( z=1 \frac{7}{8} \). Write your answer as a fraction in simplest form.

To evaluate \( -x y z \) with the values \( x = -\frac{2}{3} \), \( y = 0.6 \), and \( z = 1 \frac{7}{8} \), let's first convert all numbers into fractions. 1. Convert \( y = 0.6 \): \[ y = 0.6 = \frac{6}{10} = \frac{3}{5} \] 2. Convert \( z = 1 \frac{7}{8} \) to an improper fraction: \[ z = 1 \frac{7}{8} = \frac{8 \cdot 1 + 7}{8} = \frac{15}{8} \] Now, substitute \( x \), \( y \), and \( z \) into \( -x y z \): \[ -x y z = -\left(-\frac{2}{3}\right) \left(\frac{3}{5}\right) \left(\frac{15}{8}\right) \] This simplifies to: \[ = \frac{2}{3} \cdot \frac{3}{5} \cdot \frac{15}{8} \] Next, multiply the fractions: \[ = \frac{2 \cdot 3 \cdot 15}{3 \cdot 5 \cdot 8} \] We can simplify the expression before multiplying: - The \( 3 \) in the numerator and denominator cancels out: \[ = \frac{2 \cdot 15}{5 \cdot 8} \] Now calculate: \[ = \frac{30}{40} \] Finally, simplify \( \frac{30}{40} \): \[ = \frac{3}{4} \] Thus, the value of \( -x y z \) is \( \boxed{\frac{3}{4}} \).