Types of Fractions
Based on the properties of numerator and denominator, fractions are sub-divided into different types. They are:
Proper fractions
Improper fractions
Mixed fractions
Like fractions
Unlike fractions
Equivalent fractions
Proper Fractions
The proper fractions are those where the numerator is less than the denominator. For example, 8/9 will be a proper fraction since “numerator < denominator”.
Improper Fractions
The improper fraction is a fraction where the numerator happens to be greater than the denominator. For example, 9/8 will be an improper fraction since “numerator > denominator”.
Mixed Fractions
A mixed fraction is a combination of the integer part and a proper fraction. These are also called mixed numbers or mixed numerals. For example:
Like Fractions
Like fractions are those fractions, as the name suggests, that are alike or same.
For example, take ½ and 2/4; they are alike since if you simplify it mathematically, you will get the same fraction.
Unlike Fractions
Unlike fractions, are those that are dissimilar.
For example, ½ and 1/3 are unlike fractions.
Equivalent Fractions
Two fractions are equivalent to each other if after simplification either of two fractions is equal to the other one.
For example, ⅔ and 4/6 are equivalent fractions.
Since, 4/6 = (2×2)/(2×3) = 2/3
Unit Fractions
A fraction is known as a unit fraction when the numerator is equal to 1.
One half of whole = ½
One-third of whole = 1/3
One-fourth of whole = ¼
One-fifth of whole = ⅕
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