Determine the fraction that is exactly equal to the decimal

MATHEMATICS · Single correct · CBSE · Mathematics · Number Systems · Number Systems

Problem

0.1535353\ldots

, where the block “53” repeats indefinitely starting with the second digit after the decimal point. (a)

\dfrac{152}{999}

(b)

\dfrac{76}{495}

(c)

\dfrac{153}{990}

(d)

\dfrac{7}{45}