Question

Express 0.6 {overline} as a rational number in the simplest form

Answer 1

Write rational number in $\frac{p}{q}$form

Let $x=0.666...$ ……….(1)

$10x=6.666...$ ……….(2)

subtracting (2) from (1)

$$\begin{gathered} 9x=6 \\ x=\frac{6}{9} \\ x=\frac{2}{3} \end{gathered}$$

Hence the answer is $\frac{2}{3}$