Mr. Vizza's Class

Converting Non-Terminating Repeating Decimals into Fractions


Steps

Examples Done by Mr. Vizza

Problems You Should Practice

Additional Supportive Links


Steps

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.wpe1.jpg (2600 bytes)


Examples Done by Mr. Vizza

    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.

 

wpe1.jpg (2600 bytes)


Problems You Should Practice

    Directions:  Please convert the following repeating decimals into a fraction.

 

 

wpe1.jpg (2600 bytes)


Additional Supportive Links

©2004 Thomas Vizza