Forms of fractions
Definition.A vulgar fraction or common fraction or simple fraction — is a rational number written as one integer (the numerator) m divided by a non-zero integer (the denominator) n, such as
Definition.A vulgar fraction is said to be a proper fraction if the absolute value of the numerator is less than the absolute value of the denominator.
|7||,||5||— proper fractions.|
Definition.A vulgar fraction is said to be an improper fraction or composed fraction if the absolute value of the numerator is greater than or equal to the absolute value of the denominator.
|9||,||3||— improper fractions.|
Mixed number (mixed fraction)
It is possible to present any improper fraction in the form of the sum of whole number and a proper fraction.
Definition.A mixed number is the sum of a whole number and a proper fraction. This sum is implied without the use of any visible operator such as "+".
|3||2||= 3 +||2||=||21||+||2||=||23|
Definition.Decimals are fractions that have: integer part (thousands, hundreds, tens, ones) and decimal point and fractional part (tenths, hundredths, thousandths – decimal position).
|3.2609||= 3 +||2||+||6||+||0||+||9||= 3 +||2609|
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