Yes, most of hp calcs produced after the 32SII do show up numbers as fractions if requested so.

>Are there any HP calculators more advanced than the 32SII >that support fractions (e.g., entering and displaying 1/3 >rather than 0.3333)?

Actually the HP32SII does allow to enter fractions and

also allows to convert a decimal number to a fractional format.

As an example, to enter 4 5/16 just type in

4[.]5[.]16

To enter, let's say 3/5, it's possible to type in

either 0[.]3[.]5 or 3[.][.]5

In order to revert a decimal number to a fractional

format use [green shift] [FDISP] to toggle between decimal

and fractional display mode.

As an example, with 4.3125 in the X register,

[green shift] [FDISP] will displays it as 4 5/16.

The manual explains this better. :-)

Other than that, with the HP48 a fraction can be entered

as an algebraic object: as an example, 5/16 can be entered as '5/16'.

To convert a decimal number into a fraction, there is the built-in funtion ->Q, whose accuracy depends upon the

format of the display.

The HP30S works with fractions, and is easy to convert from, say, 1.25 to 5/4 to 1 1/4, etc. with it. However, as the 30S is nonprogrammable and not RPN, I would not say it is more advanced than the 32Sii.