SAT Math Practice Question #15361 - SATify | SATify

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SAT Math Practice Question #15361 - SATify | SATify

#15361

equations

algebra

hard

90 sec

The equation $\frac{5}{a} + \frac{2}{b} = \frac{7}{c}$ relates the variables $a, b,$ and $c$ , where $a, b, c > 0$ . Which expression is equivalent to $c$ ?

A.

$\frac{ab}{7 ( 5 b + 2 a )}$

B.

$\frac{7 ( 5 b + 2 a )}{ab}$

C.

$\frac{7 ab}{5 b + 2 a}$

D.

$\frac{5 b + 2 a}{7 ab}$