As explained in recurring decimals, whenever an irreducible fraction is written in radix point notation in any base, the fraction can be expressed exactly (terminates) if and only if all the prime factors of its denominator are also prime factors of the base. Thus, in base-ten (= 2 × 5) system, fractions whose denominators are made up solely of multiples of 2 and 5 terminate:  = ,  =  and  =  can be expressed exactly as 0.125, 0.05 and 0.002 respectively. and , however, recur (0.333... and 0.142857142857...). In the duodecimal (= 2 × 2 × 3) system, is exact; and recur because they include 5 as a factor; is exact; and recurs, just as it does in decimal.