10

Part of 2020 LIMIT Category 1

Problems(1)

Base change of a rational

Source: LIMIT 2020 Cat 1 Obj P10

For natural number

t

, the repeating base-

t

representation of the (base-ten) rational number

\frac{7}{51}

0.\overline{23}_t=0.232323..._t

t

number theorylimit