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\(\text{Suppose }\frac{x}{y}=\frac{5}{7} \text{and }\frac{y}{z}=\frac{3}{4}. \)

\( \text{What is the value of } \frac{y+z}{z}?\)

\( \text{ Express your answer as a common fraction.}\)

 Dec 27, 2018

Best Answer 

 #1
avatar+3729 
+1

Does this say \(\frac{y+z}{z}\) . If so, try to break it up into \(\frac{y}{z}+\frac{z}{z}\)\(\) , so   \(\frac{y}{z}+1.\)\(\) Therefore, we have    \(4y=3z, y=\frac{3}{4}z\) and \(\frac{3z}{4}*\frac{1}{z}=\frac{3}{4}\)\(\) , so     \(1+\frac{3}{4}=\boxed{1\frac{3}{4}}.\)

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 Dec 27, 2018
 #1
avatar+3729 
+1
Best Answer

Does this say \(\frac{y+z}{z}\) . If so, try to break it up into \(\frac{y}{z}+\frac{z}{z}\)\(\) , so   \(\frac{y}{z}+1.\)\(\) Therefore, we have    \(4y=3z, y=\frac{3}{4}z\) and \(\frac{3z}{4}*\frac{1}{z}=\frac{3}{4}\)\(\) , so     \(1+\frac{3}{4}=\boxed{1\frac{3}{4}}.\)

tertre Dec 27, 2018

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