Simplify:
[tex]\frac{x}{z+3}\div\frac{x-2}{x+3}[/tex]
Convert the division of fractions into a product with the reciprocal of the denominator:
[tex]\frac{x}{z+3}\times\frac{x+3}{x-2}[/tex]
Now simplify x + 3 in both the numerator and denominator
[tex]\frac{x}{x-2}[/tex]
Steps 3 and 4 are wrong because the variable x disappeared and it cannot be done unless they were simplified or they are substituted by a certain value.
