Converting Non-Terminating Repeating Decimals into Fractions

Step 1.
Set the given number equal to *n*.

Step 2.** ** Multiply
*one or both equations* by the power of ten that will move the decimal
point the number of places needed to line the numbers up in a "matching"
way.

Step 3. Subtract the two equations that you have now.

Step 4. Isolate
*n* by division.

__Directions__: Please convert the
following repeating decimal into a fraction.

Step 1.

Step 2.

We will multiply n by 100 to line up the numbers appropriately.

Step 3.

Step 4.

* *__Directions__:
Please convert the following repeating decimals into a fraction.