wrong rational numbers generated by Matlab

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S H
S H 2020-1-13
评论： Steven Lord 2020-1-13
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.

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Guillaume
Guillaume 2020-1-13
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
  1 个评论
Steven Lord
Steven Lord 2020-1-13
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

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