The following two videos from Khan Academy will demonstrate how to convert repeating decimals to fractions.
Click on the links below in the Links & Files section to view videos.
The first video explains how to convert a single digit repeating decimal into a fraction (ex. 2.33333.... the repeating digit is 3).
The second video explains how to convert multiple digit repeating decimal into a fraction (ex. 1.232323... the multiple repeating digits are 23).