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.
