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
    ↓ ↓ ↓ ↓ ↓  
    110 1100 11000 110,000 1100,000  

 

Example 1

Convert 0.5 to a fraction

Remember 0 . 1
      ↓
      110

 

  0.5 = 510
     ↓    
    110    
  column    
and 510 = 12

Answer: 0.5=12

 

Example 2

Convert 0.35 to a fraction

Remember 0 . 1 1
      ↓ ↓
      110 1100

 

  0.35 = 35100
       ↓    
      1100    
  column    
and 35100 = 720

Answer: 0.35=720

 

Example 3

Convert 0.15 to a fraction

Remember 0 . 1 1
      ↓ ↓
      110 1100

 

  0.15 = 15100
       ↓    
      1100    
  column    
and 15100 = 320

Answer: 0.15=320

 

Example 4

Convert 0.678 to a fraction

Remember 0 . 1 1 1
      ↓ ↓ ↓
      110 1100 11000


Answer: 0.678=6781000=339500

 

Example 5

Convert 25.6875 to a fraction

Remember 0 . 1 1 1 1
      ↓ ↓ ↓ ↓
      110 1100 11000 110,000

 
Answer: 25.6875=25  687510,000=251116