wrong rational numbers generated by Matlab

Example:

23/52
ans =
0.4423
rats(0.4423)
ans =
'   1100/2487  '

The correct answer is 23/52 and not 1100/2487 generated by Matlab. This error is very problemtaic because it ruins the possibility to express a given series with their proper closed-form expression in terms of an input number such as n.

Answer 1

[Guillaume]

Hum:

>> rats(23/52)
ans =
    '     23/52    '

So, no issue there.

Of course, 23/52 is not equal to 0.4423, so if you give a rounded down input of 0.4423, why would you expect 23/52 when 1100/2487 is actually closer in value:

>> 23/52 - .4423
ans =
      7.69230769226414e-06
      
>> 1100/2487 - 0.4423
ans =
     -4.02090872819727e-08

Note:

>> format longg
>> 23/52
ans =
         0.442307692307692

[Steven Lord]

Taking Guillaume's last code segment the next logical step by showing both numbers:

>> format longg
>> format compact
>> 23/52, 1100/2487
ans =
         0.442307692307692
ans =
         0.442299959790913