If\[\frac{x}{y} = \frac{3}{4}, \frac{y}{z} = \frac{2}{3}, \;\text{and} \; \frac{z}{w} = \frac{5}{8}\]what is the value of $\frac{x + y + w}{w}$? Express your answer as a common fraction. Thanks!!!!!!!!!!!
+37157 Welll y/z * z/w = y/w = 2/3 * 5/8 = 10/24 = y/w = 40/96
and x/y * y/z = x/z = 3/4 * 2/3 = 6/12
then x/z * z/w = x/w = 6/12 * 5/8 = 30/96 = x/w
and w/w = 1 = 96/96
sooooo ( x+ y+w) / w = ( 40 + 30 + 96) / 96 = ........
+37157 Welll y/z * z/w = y/w = 2/3 * 5/8 = 10/24 = y/w = 40/96
and x/y * y/z = x/z = 3/4 * 2/3 = 6/12
then x/z * z/w = x/w = 6/12 * 5/8 = 30/96 = x/w
and w/w = 1 = 96/96
sooooo ( x+ y+w) / w = ( 40 + 30 + 96) / 96 = ........
