Converting multi-digit repeating decimals to fractions

The  exercise appears under the 8th Grade Math Mission. This exercise practices converting between repeating decimals and their corresponding fraction form.

Types of Problems
There is one type of problem in this exercise:


 * 1) Change into a fraction: This problem provides a repeating decimal. The student is asked to take the repeating decimal and change it into a fraction.C1drdtf1.png

Strategies
Knowing how to convert quickly from fractions into decimal can provide insight here for how to work backwards.
 * 1) A decimal that repeats over n-spots will be an "over $$ 10^n-1 $$" answer. For example, 0.232323... is 23/99.
 * 2) The fraction answers need to be simplified, so 1/3 is correct but 3/9 is not.

Real-life applications

 * 1) Connections between fractions and decimals help in many scientific approximation applications.