Mathematics

Problem

Express each of the following non-terminating recurring decimals as a rational number in simplest form and identify its repeating block (period). (a)

0.\overline{18}

(b)

1.2\overline{35}

(c)

0.\overline{013}

a. Convert

0.\overline{18}

to a rational number and state its repeating block. b. Convert

1.2\overline{35}

to a rational number and state its repeating block. c. Convert

0.\overline{013}

to a rational number and state its repeating block.