Mammoth Memory

Decimal to fraction - Non repeating

When you convert a non repeating decimal into a fraction think where the last digit stretches to.

`0` `.` `1` `1` `1` `1` `1` etc
    `darr` `darr` `darr` `darr` `darr`  
    `1/10` `1/100` `1/1000` `1/(10,000)` `1/(100,000)`  

 

Example 1

Convert `0.5` to a fraction

Remember `0` `.` `1`
      `darr`
      `1/10`

 

  `0.5` `=` `5/10`
  `\ \ \ darr`    
  `\ \ 1/10`    
  column    
and `5/10` `=` `1/2`

Answer: `0.5=1/2`

 

Example 2

Convert `0.35` to a fraction

Remember `0` `.` `1` `1`
      `darr` `darr`
      `1/10` `1/100`

 

  `0.35` `=` `35/100`
  `\ \ \ \ \ darr`    
  `\ \ \ \ 1/100`    
  column    
and `35/100` `=` `7/20`

Answer: `0.35=7/20`

 

Example 3

Convert `0.15` to a fraction

Remember `0` `.` `1` `1`
      `darr` `darr`
      `1/10` `1/100`

 

  `0.15` `=` `15/100`
  `\ \ \ \ \ darr`    
  `\ \ \ \ 1/100`    
  column    
and `15/100` `=` `3/20`

Answer: `0.15=3/20`

 

Example 4

Convert `0.678` to a fraction

Remember `0` `.` `1` `1` `1`
      `darr` `darr` `darr`
      `1/10` `1/100` `1/1000`


Answer: `0.678=678/1000`

 

Example 5

Convert `25.6875` to a fraction

Remember `0` `.` `1` `1` `1` `1`
      `darr` `darr` `darr` `darr`
      `1/10` `1/100` `1/1000` `1/(10,000)`

 
Answer: `25.6875=25\ \ 6875/(10,000)`

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