If x/y = 3/4, y/z = 2/3, and w/z = 5/8, what is the value of (x + y + w)/w? Express your answer as a common fraction.
Using the ratios, we can find that z = 24, y = 16, x = 12, and w = 15.
\(x + y + w \over w\) = \(12 + 16 + 15 \over 15\) = \(43 \over 15\)