Ordinary fractions

Definition. Elements of the fraction. Classification fractions


An ordinary fraction is a pair (a, b) of two natural numbers a and b, with b different by 0. The ordinary fraction (a, b) is written    fraction   or a/b.

Examples of fractions:


A fraction (in Latin we have: fractus, i.e. "broken") represents a part of a whole or, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, seven-fifths, three-quarters.

The elements of a fraction

In this fraction     fraction , a is numerator and b is the denominator. Just like this example:

fractions elements

We read two fifths.


Any of natural numbers can be written as a fraction. e.g.,

fraction 3/1


Classification fractions

A fraction the denominator is less than the numerator is called fraction below par. This is a proper fraction.

For example, fraction half  is a fraction below par.

A fraction with the numerator equal to the fraction denominator is called improper function. Also the fractions where the numerator is bigger than the denominator.

For example, ,



Comparing fractions

Two fractions are equivalent fractions when they represent the same part of a whole.

Two fractions are equal if the following condition is satisfied:

equal fractions


Of the two fractions with the same denominator is greater the fraction with greater numerator.

For example,

comparing fractions with the same denominator,   comparing fractions

Of the two fractions with the same numerator is higher fraction with smaller denominator.

For example,

fraction, compare fractions

When we want to compare two fractions that not have denominators equal or neither even numerator can bring fractions to the same denominator and apply the above rules.

Or apply the following rule:

compare fractions



Keywords: arithmetic, fractions, fractions ordinary lessons




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