Types of Fractions

  • Proper Fractions

  • Mixed Fractions

  • Improper Fractions



Proper Fractions

Proper fractions can easily be identified by comparing the values of their numerator and the denominator. If the fraction's numerator is less than the denominator, the fraction is a proper fraction. The value of proper fractions is always less than one, but can never be less than zero.


Examples of proper fractions:


Other examples of proper fractions: 5/13 , 11/95 , 68/201 , etc.



Mixed Fractions

This type of fractions is a mix of a fraction and a whole number. The value of a mixed fraction is the same as the sum of the whole number and the fraction. There is an implied addition symbol between the whole number and the fraction.


Examples of mixed fractions:




Other examples of mixed fractions 5 3/4, 13 34/40, 1 1/4, etc.



Improper fractions

Improper fractions are top heavy, in that the value of their numerators is greater than the value of their denominators. When you divide their numerators with their denominators, you always end up with a number equal to or greater than 1. This also means that fractions with numerators equal to their denominators are also improper fractions, although they are usually written as a whole number or 1.


It is not common for fractions to be written in their usual form as they are commonly converted to mixed fractions.


Examples of improper fractions:




Other examples of improper fractions: 19/8, 101/45, 15/2, etc.




Resource

Browse Common Decimals
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