Decimal

$x = 0.29\overline{6}$

$100x = 29.\overline{6}$

$100x = 29 \frac{2}{3}$

$100x = \frac{89}{3}$

$\mathbf{x = \frac{89}{300}}$

Therefore, $\mathbf{0.29\overline{6} = \frac{89}{300}}$