GRE Sample Question, explanation? Thanks

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SUMMARY

The correct answer to the GRE sample question is (1/y) - (1/xy). The discussion clarifies that the condition xy ≠ 0 implies that neither x nor y can equal zero, which is crucial for manipulating the equation. By rewriting (x - 1)/(xy) as two separate fractions, the expression can be simplified to (x/xy) - (1/xy), leading to the conclusion that understanding fraction manipulation is essential for solving such problems.

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  • Familiarity with fractions and their properties
  • Knowledge of GRE quantitative reasoning concepts
  • Ability to interpret mathematical conditions such as xy ≠ 0
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Brown399
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The correct answer is (1/y) - (1/xy) but i don't understand why

What does the sum of xy not equaling zero imply that we can do to the equation to solve it?
 
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If xy != 0, then neither x nor y = 0.

Rewrite (x - 1)/(xy) as two separate fractions. What do you get?
 

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