Conversions

Fractions are related to

• Percentages
• Decimals
• Ratio

 

 

Fraction Conversions

Fraction to  Percentage

Just divide the top number  (numerator)
by the bottom number ( denominator)
then multiply by 100  and add  a  % sign

 

Examples

Alternatively, convert the fraction so that the bottom number is 100, then write the converted  top number with a % sign

 

 

Fraction to Decimal

 

Just divide the top number  (numerator)
by the bottom number ( denominator)

 

 

Percentage Conversions

 

Percentage to Decimal  

Just divide the number by 100 and lose the % sign !

Examples

60 % = 0.6                           45% = 0.45             125% = 1.25

                           6 % = 0.06                    6¾ % = 0.0675

 

Percentage  to Fraction

 

 

Examples

 

 

Decimal Conversions

 

Decimal to  percentage

Just multiply the number by 100 and add a % sign !

Examples

0.21 = 21%        0.128 = 12.8%       0.5 = 50 % 

              4.125 = 412.5%           1.75 = 175 %

 

1.78 = 178 %        5.128 = 512.8%       2.5 = 250 % 

 

 

Decimal to Fraction

Write down the number without the decimal point
If one digit -  put over 10,
 If two digits – put over 100
   If three digits – put over 1000,
            If four digits – put over 10000     etc.

Simplify !

 

Examples