Suppose $\frac {x}{y} = \frac {4}{7}$ and $\frac {y}{z} = \frac {14}{3}$. What is the value of $\frac {x + y}{z}$? Express your answer as a common fraction.

Question

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5617

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+1836

Suppose

$\frac {x}{y} = \frac {4}{7}$

and

$\frac {y}{z} = \frac {14}{3}$

. What is the value of

$\frac {x + y}{z}$

? Express your answer as a common fraction.

Mellie Sep 5, 2015

CPhill · Answer 1 · 2015-09-05T03:09:27

I'm not sure if this is what you mean....but I think you have....

x / y = 4 / 7 and y / z = 14 / 3

Note that the first fraction can also be expressed as x / y = 8 / 14

So

[x + y ] / z = [8 + 14 ] / 3 = 22 / 3