How to convert 0.0344444444444 to a common fraction

100 ∙ 0.0344444444444...= 3.44444444444...

1000 ∙ 0.0344444444444...= 34.4444444444...

1000 ∙ 0.0344444444444... - 100 ∙ 0.0344444444444 = 34.4444444444... - 3.44444444444...

900 ∙ 0.0344444444444... = 31

Divide both sides by 900

0.0344444444444... = 31 / 900