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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!!!!!!!!!!!

 Feb 18, 2021

Best Answer 

 #2
avatar+29193 
+2

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 = ........

 Feb 18, 2021
 #1
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0

CPhill!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!                          I     NEEED   your help plsssss

 Feb 18, 2021
 #2
avatar+29193 
+2
Best Answer

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 = ........

ElectricPavlov Feb 18, 2021
 #3
avatar+116126 
0

Excellent,  EP   !!!

 

 

cool cool cool

CPhill  Feb 18, 2021
 #4
avatar+29193 
+1

Thanx, Chris..... and goodnight !    ~ EP   cheeky

ElectricPavlov  Feb 18, 2021

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