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Expression simplification/ Least common denominator/ z/t-t/z

Least common denominator z/t-t/z

An expression to simplify:

The solution

You have entered [src] 
z   t
- - -
t   z
$$- \frac{t}{z} + \frac{z}{t}$$ 
z/t - t/z
Combinatorics [src] 
(t + z)*(z - t)
---------------
      t*z
$$\frac{\left(- t + z\right) \left(t + z\right)}{t z}$$ 
(t + z)*(z - t)/(t*z)
Rational denominator [src] 
 2    2
z  - t 
-------
  t*z
$$\frac{- t^{2} + z^{2}}{t z}$$ 
(z^2 - t^2)/(t*z)
Combining rational expressions [src] 
 2    2
z  - t 
-------
  t*z
$$\frac{- t^{2} + z^{2}}{t z}$$ 
(z^2 - t^2)/(t*z)
Common denominator [src] 
 2    2
z  - t 
-------
  t*z
$$\frac{- t^{2} + z^{2}}{t z}$$ 
(z^2 - t^2)/(t*z)
Numerical answer [src] 
z/t - t/z
z/t - t/z
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