Task# Converting Repeating Decimals to Fractions

Illustrative MathematicsVaries

The purpose of this task is to study some concrete examples of repeating decimals and find a way to convert them to fractions. These fractions all have particularly simple decimal expansions which can be used to write repeating decimals as fractions. This task leads naturally to a simple method for writing repeating decimals as fractions which the teacher may wish to explore.