Question

(x-1/y)/(x/y) = ?

Answer 1

Which do you mean? \(((x-1)/y)/(x/y)\;or\;(x-(1/y))(x/y)\)

Answer 2

Okay so we basically just multiply by the reciprocal:
\[(\frac{ x-1 }{ y })(\frac{ y }{ x })\] Which further gives us: \[\frac{ y(x-1) }{ xy }\] This can be further simplified into: \[\frac{ xy-y }{ xy }\] After that we can simply cancel out like terms: \[\frac{ x-1 }{ x }\] We cannot cancel out the x's because we do not have a "perfect three" where all three terms (the x, the -1, and the x in the denominator) have like terms.

Answer 3

Of course, this is assuming you meant ((x−1)/y)/(x/y)

Answer 4

its (x-(1/y))/(x/y). sorry for the confusion

Answer 5

That IS what you originally wrote, but so many write incorrectly that it is hard to know. Thanks for the clarification.