How simplify numeric symbolic fraction coefficients

How can I simplify this simbolic equation
In this
Divide all coefficients by the denominator z^2 term? Simplify and simplifyFraction don't work
Thanks

 Accepted Answer

This almost gets there, however vpa apparently does not work on anyting except integers, so not on decimal fractions.
syms z
H(z) = (0.5*(6.25e+32*z^2 + 1.391e+32*z - 4.398e+32)) / (3.125e+32*z^2 - 3.99e+32*z + 1.271e+32);
[n,d] = numden(H(z));
[ncoefs,zpwr] = coeffs(n);
H(z) = vpa((n/ncoefs(1)), 2) / vpa((d/ncoefs(1)), 2)
H(z) = 
Experiment to get the different results.
.

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R2020a

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