# Is ` (x^3 z^3)/(-3y)` the same as  `(-x^3 z^3)/(-3y)` ? (Fraction)

Sorry for the slip. Take note of this correction.

The denominator of the two fractions should be `-3y` ,  not `-y^3` .

Still, when simplified, the two fractions are not the same.

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For the first fraction

`(x^3z^3)/(-y^3)`

the numerator and denominator have unlike signs. So, the sign of the resulting fraction is negative.

`(x^3z^3)/(-y^3)=-(x^3z^3)/(y^3)`

For the second fraction,

`(-x^3z^3)/(-y^3)`

both numerator and denominator are negative. Thus, the resulting sign of the fraction is positive.

`(-x^3z^3)/(-y^3)=(x^3z^3)/y^3`

Hence, the two fractions `(x^3z^3)/(-y^3)` and `(-x^3z^3)/(-y^3) ` are not the same.

Approved by eNotes Editorial Team