When the fraction \(\frac{1}{288}\)is expressed in base \(12\) is it terminating or repeating?

Doggo Feb 14, 2021

#1**+2 **

288 = 2^{5} * 3^{2}, which clearly means it's divisible by 12 (12 * 24 = 288), which means the fraction will terminate when put in base 12 :)

P.S. That fraction can be represented as: 0.006_{12 }(base 12)

Logarhythm Feb 14, 2021