Pecahan Perenampuluhan

Dalam sistem angka perenampuluhan, apa-apa pecahan dimana penyebutnya adalah regular nombor (having only 2, 3, dan 5 in its prime factorization) may be expressed exactly.[7] The table below shows the sexagesimal representation of all fractions of this type in which the denominator is less than 60. The sexagesimal values in this table may be interpreted, for instance, as giving the nombor of minit dan seconds in a given fraction of an hour, although the representation of these fractions as sexagesimal numbers does not depend on such an interpretation.

Pecahan:1/21/31/41/51/61/81/91/10
Angka asas-60: 30201512107:306:406
Pecahan:1/121/151/161/181/201/241/251/27
Angka asas-60:543:453:2032:302:242:13:20
Pecahan:1/301/321/361/401/451/481/501/54
Angka asas-60:21:52:301:401:301:201:151:121:6:40

However numbers that are not regular form more complicated pecahan berulang. Contohnya:

1/7 = 0:8:34:17:8:34:17 ... (dengan turutan digit asas-60 8:34:17 mengulang tanpa henti).

The fact in arithmetic that the two numbers that are adjacent to 60, namely 59 dan 61, are both prime numbers implies that simple repeating fractions that repeat with a period of one or two sexagesimal digits can only have 59 or 61 as their denominators, dan that other non-regular primes have fractions that repeat with a longer period.