evaluate -xyz if x = -2/3, y = 0.6, and z = 1 7/8. write your answer as a fraction in simplest form.

Explanation:

Step1: Substitute the values

Substitute (x =-\frac{2}{3}), (y = 0.6=\frac{3}{5}), and (z = 1\frac{7}{8}=\frac{15}{8}) into (-xyz). [ -xyz=-\left(-\frac{2}{3}\right)\times\frac{3}{5}\times\frac{15}{8} ]

Step2: Simplify the expression

First, (-\left(-\frac{2}{3}\right)=\frac{2}{3}). Then (\frac{2}{3}\times\frac{3}{5}\times\frac{15}{8}). (\frac{2}{3}\times\frac{3}{5}=\frac{2\times3}{3\times5}=\frac{2}{5}) (the (3)s cancel out). Then (\frac{2}{5}\times\frac{15}{8}=\frac{2\times15}{5\times8}). Since (15\div5 = 3), we have (\frac{2\times3}{8}=\frac{6}{8}). Simplify (\frac{6}{8}) by dividing numerator and denominator by (2), (\frac{6\div2}{8\div2}=\frac{3}{4}).

Answer:

(\frac{3}{4})