Question

Convert into
the recurring decimal 0.035035035....into a fraction
​

Answer 1

$let \: x = 0. \overline{035}$

Therefore,

$100x = 035. \overline{035}$

$\implies 100x - x = 35. \overline{035} - 0. \overline{035}$

$\implies 99x = 35$

$\implies x = \frac{35}{99}$