HP 35S Fractions

[lrdheat]

One thing I like about the HP 35S is that fractions such as 1/4 are correctly estimated when a calculated result is accurate to 4 or 5 decimal places. Other calculators such as TI and CASIO will not produce a good fraction estimate until the result agrees with the fraction decimal form out to full display/calculation precision of 9 if not 12 digits.

[ttw]

For some applications, I wrote code (HP50g) to convert fractions (in real format) to continued fractions.

[Rolief_Rechner]

I rewrote Mr Horn's 15c fraction program for the 35s.
Using one label makes simpler:

35s Dec ► Frac

M001 LBL M (1/x key)
M002 STO N
M002 STO O
M004 0
M005 ENTER
M006 ENTER
M007 1
M008 R↑
M009 INTG
M010 R↑
M011 ×
M012 +
M013 STO P
M014 XEQ M033
M015 ÷
M016 RND
M017 RCL N
M018 RND
M019 x = y?
M020 GTO M032
M021 +
M022 CLx
M023 RCL P
M024 ENTER
M025 ENTER
M026 R↑
M027 RCL O
M028 FP
M029 1/x
M030 STO O
M031 GTO M009
M032 RCL P
M033 ENTER
M034 ENTER
M035 RCL N
M036 ×
M037 0.5
M038 +
M039 INTG
M040 x < > y
M041 RTN

Due to 35s quirk it is best to enter all GTO as M001 first.
After all code is entered edit GTO with correct line number.
LN = 128 for check.

Examples show how FIX affects result:

pi
FIX 4
XEQ M
ENTER
355.0000
113.0000

pi
FIX 3
XEQ M
ENTER
333.000
106.000

pi
FIX 2
XEQ M
ENTER
22.00
7.00

Regards - RR