Mammoth Memory

Decimal to fractions

Before we show you how to convert decimals to fractions in the next sections, you must learn the following:

When you convert a decimal to a fraction always write out the following:

  0 . 1 1 1 1 1 etc  
         
      110 1100 11000 110,000 1100,000    

 

This will enable you to work out where the last digit in the decimal stretches to.

 

Example 1

Where does 0.5 stretch to?

  0 . 5
     
      110

 
0.5 stretches to the 110 column.

 

Example 2

Where does 0.35 stretch to?

 

  0 . 3 5
       
        1100


0.35 stretches to the 1100 column 

 

Example 3

Where does 0.678 stretch to?

  0 . 6 7 8
         
          11000


0.678 stretches to the 11000 column.