Fractions

What is a fraction? Fraction in mathematics — a number consisting of one or several parts (shares) of a unit.
According to the way of writing, fractions are divided into two formats: common ones of the form , and decimal ones.

Types of fractions: Common fractions
Common fraction (simple) has the form, where m and n - are natural numbers.
Dividend (m)-is called the numerator of the fraction, divisor (n) - is called the denominator of this fraction.
The horizontal or slant line in a fraction indicates division.
Important! In any fraction, both in proper and improper n the denominator is not zero, since division by zero is not allowed.


Examples of common fractions:

Proper fractions
A fraction is called proper if the absolute value of the numerator is less than the absolute value of the denominator.

Examples of proper fractions:

Calculations and formulas of fractions online

  • Operations with fractions
    calculator for solving fractions
  • Addition of fractions
    calculate the sum
  • Subtraction of fractions
    find the sum of fractions
  • Multiplication of fractions
    find the product of fractions
  • Division of fractions
    calculate the quotient of fractions
  • Proportionality
    Calculate direct and inverse proportionality
  • Raising fractions to a power
    how to raise a fraction to a power
  • Comparison of fractions
    how to compare a fraction
  • Conversion of a fraction to a decimal fraction
    convert a common fraction
  • Proportion calculator
    Effective solution for working with proportions
  • Improper fraction
    convert to an improper fraction
  • Mixed fraction
    conversion of an improper fraction to a mixed fraction
  • Improper fractions
    A fraction is called improper if the absolute value of the numerator is greater than the absolute value of the denominator.

    Examples of improper fractions:

    Mixed numbers
    The representation of a number containing an integer and a fractional part is called a mixed number.
    A mixed number can be represented as an improper fraction.

    Examples of mixed numbers:

    Decimal fractions
    There are tasks when the conversion of a common fraction to a decimal is simply necessary.
    A decimal fraction is a fraction that is written without a denominator.
    You can see the conversion of a common fraction to a decimal here
    Examples of decimal fractions: 0,1; 0,13; 0,121.