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

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mattlimey | Student, Grade 11 | (Level 2) Honors

Posted March 9, 2013 at 1:28 AM via iOS

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

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mjripalda | High School Teacher | (Level 1) Senior Educator

Posted March 9, 2013 at 4:39 AM (Answer #1)

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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.

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mjripalda | High School Teacher | (Level 1) Senior Educator

Posted March 9, 2013 at 4:42 AM (Answer #2)

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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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